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I was born in Stralsund in 1971. After completing the Elite class at the TU Karl-Marx-Stadt in 1989 and spending one year in the National Army I studied Mathematics (Diplom) at the TU Chemnitz-Zwickau until 1995. In 1998 I finished my PhD (Dr. rer. nat.) at the TU Chemnitz. Since then I worked at the University of Aveiro, first as a Post-Doc, then as Assistant Professor. In 2006 I made the Portuguese Habilitation (Agregação). My principal research fields are harmonic analysis and hypercomplex function theories and its applications. In the past he worked on applications of hypercomplex analysis to partial differential equations, in particular the construction of operator calculus based on singular integral operators for hypoelliptic PDE¿s. Together with Paula Cerejeiras and Frank Sommen I also laid the groundwork on Clifford analysis in projective spaces which was later on studied by David Eelbode. Together with Paula Cerejeiras and Guangbin Ren we started Dunkl-Clifford analysis which was afterwards taken up by several mathematicians. Of particular interest to me is our work on Discrete Clifford analysis, here we constructed the equivalent to the Howe dual pair technique using Sommen-Weyl relations. We also developed the corresponding discrete boundary value theory, including Hardy spaces, monogenic projections, and discrete Riemann-Hilbert problems. I also like to work in applications, in particular the application of monogenic signal in signal and image processing, the construction of Gabor and wavelet frames over the sphere and other manifolds, the numerical inversion of Radon transforms over manifolds by using sparsity promoting algorithms, and curvature estimation in image processing. I am Editor-in-Chief of Advances in Applied Clifford Algebras (Birkhäuser/Springer) and Associate Editor for Applied Mathematics and Computation (Elsevier) and International journal for Wavelets, Multiresolution analysis and Information processing (WorldScientific). I am also member of the editorial boards of Complex Analysis and Operator (Birkhäuser) and OpenMathematics (deGruyter). Among others I gave colloquium talks at Imperial College London, LMU Munich, Helmholtz Zentrum Munich, Rolf-Nevanlinna Institute Helsinki, and Chinese Academy of Sciences as well as being a plenary speaker at the principal conference in his field (International conference on Clifford algebras and its applications) and other large conferences like ICNAAM. I was happy to have supervised 5 PhD students and 2 Post-Doc¿s.
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Identification

Personal identification

Full name
Uwe Kähler

Citation names

  • Kähler, Uwe

Author identifiers

Ciência ID
9719-A120-F245
ORCID iD
0000-0002-9066-1819

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
German Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Russian Beginner (A1) Intermediate (B1) Intermediate (B1) Beginner (A1)
Education
Degree Classification
2006
Concluded
 Matemática (Título de Agregado)
Universidade de Aveiro, Portugal
 aprovado
1998/09/16
Concluded
 Doutoramento (Doktor (PhD))
Technische Universität Chemnitz, Germany
"Aplicações da teoria das funções hipercomplexas a soluções de Equações Diferenciais Parciais" (THESIS/DISSERTATION)
 Magna cum laude (Aprovado com Louvor e Distinção)
1995/04/30
Concluded
 Diplommathematik (Graduado)
Technische Universität Chemnitz Fakultät für Mathematik, Germany
"Sobre algumas generalizações espaciais de um operador integral singular complexo" (THESIS/DISSERTATION)
 1.0 "mit Auszeichnung" (em Portugal: 20 valores -
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2023/06/01 - Current Full Professor (University Teacher) Universidade de Aveiro, Portugal
Universidade de Aveiro, Portugal
2018/09/01 - 2023/05/31 Associate Professor (University Teacher) Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2006/01/17 - 2008/12/01 Invited Assistant Professor (University Teacher) Universidade de Aveiro, Portugal
2001/10/01 - 2006/01/16 Invited Assistant Professor (University Teacher) Universidade de Aveiro, Portugal
1998/05/01 - 1998/09/30 Assistant (University Teacher) Technische Universität Chemnitz Fakultät für Mathematik, Germany

Others

Category
Host institution 		Employer
2008/12/02 - 2018/08/31 Professor Auxiliar com Agregação Universidade de Aveiro, Portugal
1998/10/01 - 2001/09/30 Bolseiro da FCT Universidade de Aveiro, Portugal
1995/05/01 - 1998/04/30 Bolseiro de Saxónia Technische Universität Chemnitz Fakultät für Mathematik, Germany
Projects

Grant

Designation Funders
2017/05 - 2017/07 Bolsa de Licença Sabática
SFRH/BSAB/135157/2017
Principal investigator
Fundação para a Ciencia e a Technologia
Concluded
1998/10 - 2001/09 Quasi-conformal mappings in Clifford analysis
PraxisXXI/BPD/18851/98
 Fundação para a Ciencia e a Technologia
2000/08 - 2000/09 NATO Advanced Research Workshop "Clifford Analysis and its Applications"
NATO
 NATO
1999/08 - 1999/09 2nd ISAAC congress 1999 Fukuoka
Gulbenkian
 Calouste Gulbenkian Foundation UK Branch
1995/06 - 1998/05 Applications of hypercomplex function theory to partial differential equations
LS
 Ministerium für Wissenschaft und Wirtschaft des Landes Sachsen-Anhalt

Contract

Designation Funders
2024/09/01 - 2027/08/31 RECONSTRUCT: Forensic Structural Engineering database for HEI and pilot course with innovative and interactive learning methods
KA220-HED-54AD3240
Principal investigator
Universidade de Aveiro, Portugal

Bauhaus-Universität Weimar, Germany

Ruhr-Universität Bochum, Germany

Saints Cyril and Methodius University in Skopje, Macedonia

Sveucili¿ta Josipa Jurja Strossmayera u Osijeku, Croatia
Ongoing
2020/01/01 - 2023/12/31 Approximation of nonlinear signals by atoms of Blaschke product type and its application in hyperspectra data
NSFC-11971178
Researcher
South China Agricultural University, China
 National Natural Science Foundation of China
Ongoing
2021/06/01 - 2023/05/31 PARFORCE - Partnership for virtual laboratories in civil engineering
2020-1-DE01-KA226-HE-005783
Researcher
Universidade de Aveiro, Portugal

Bauhaus-Universität Weimar, Germany

Ruhr-Universität Bochum, Germany

Sveucili¿ta Josipa Jurja Strossmayera u Osijeku, Croatia

Saints Cyril and Methodius University in Skopje, Macedonia
Deutscher Akademischer Austauschdienst
Ongoing
2019/01/01 - 2022/12/31 Fault-tolerant wireless structural health monitoring based on frame analysis and deep learning
LE3955/4-1
Researcher
Technische Universität Hamburg, Germany

Universität Erfurt, Germany

Bauhaus-Universität Weimar, Germany
Deutsche Forschungsgemeinschaft
Ongoing
2016/09 - 2019/08 Forecast Engineering: From Past Design to Future Decisions
2016-1-DE01-KA203-002905
Universidade de Aveiro, Portugal

Bauhaus-Universität Weimar, Germany

Univerza v Ljubljani, Slovenia

Sveucili¿ta Josipa Jurja Strossmayera u Osijeku, Croatia

Budapesti Muszaki és Gazdaságtudományi Egyetem, Hungary
Deutscher Akademischer Austauschdienst
2016/01 - 2017/12 Global operator calculi on compact and non-compact Lie groups
Acção No. A-42/16
Universidade de Aveiro, Portugal

Universität Stuttgart, Germany
Ministério da Ciência Tecnologia e Ensino Superior
2012/01 - 2013/12 Conformal monogenic frames for image analysis
Acc¸a~o No. A-48/12
 Ministério da Ciência Tecnologia e Ensino Superior
2012/01 - 2013/12 Conformal monogenic frames for image analysis
Acc¸a~o No. A-48/12
Universidade de Aveiro, Portugal

Technische Universität München, Germany
Ministério da Ciência Tecnologia e Ensino Superior
2012/01 - 2013/12 Conformal monogenic frames for image analysis
Acc¸a~o No. A-48/12
 Ministério da Ciência Tecnologia e Ensino Superior
2012/01 - 2013/12 Conformal monogenic frames for image analysis
Acc¸a~o No. A-48/12
 Ministério da Ciência Tecnologia e Ensino Superior
2012/01 - 2013/12 Conformal monogenic frames for image analysis
Acc¸a~o No. A-48/12
 Ministério da Ciência Tecnologia e Ensino Superior
2008/01 - 2009/12 Spherical Radon transform and co-orbit theory
Acção No. A-19/08
Universidade de Aveiro, Portugal

Hochschule Neubrandenburg, Germany
Ministério da Ciência Tecnologia e Ensino Superior
Concluded
2007/11 - 2007/12 Hypercomplex analysis for difference and differential-difference operators
Royal Society
 The Royal Society
2002/01 - 2003/12 Wavelets in Banach Spaces
nº 423/DAAD
Universidade de Aveiro, Portugal

Universität Bremen, Germany

Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany
Ministério da Ciência Tecnologia e Ensino Superior
Concluded
1996/06 - 2000/09 Quaternionic analysis and partial differential equations
DAAD/CONACYT
 Deutscher Akademischer Austauschdienst
Outputs

Publications

Book
  1. Kähler, Uwe; Reissig, Michael; Sabadini, Irene; Vindas, Jasson. Analysis, Applications, and Computations. Switzerland: Springer International Publishing. 2023.
    Published • 10.1007/978-3-031-36375-7 • Editor
  2. Cerejeiras, P.; Fonseca, A.; Kähler, U.; Vieira, N.. Fischer decomposition in generalized fractional clifford analysis. 2017.
    10.1007/978-3-319-62362-7_3
  3. Kähler, Uwe. Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5--9, 2013.. 2014.
    10.1007/978-3-319-08771-9
  4. Bernstein, S.; Kähler, U.; Sabadini, I.; Sommen, F.. Preface. 2014.
  5. Ku, M.; Kähler, U.; Cerejeiras, P.. Dirichlet-type problems for the iterated dirac operator on the unit ball in clifford analysis. 2013.
    10.1007/978-88-470-2445-8_1
Book chapter
  1. Kähler, Uwe. "Can We Divide Vectors?—Geometric Calculus in Science and Engineering". In Modern Problems in PDEs and Applications, 73-80. Springer Nature Switzerland, 2024.
    Published • 10.1007/978-3-031-56732-2_7
  2. Kähler, Uwe. "Boundary Values of Discrete Monogenic Functions over Bounded Domains in $$ \mathbb{R}^3 $$". 2019.
    10.1007/978-3-030-18484-1_5
  3. Cerejeiras, Paula; Kähler, Uwe; Kraußhar, Sören R.. "Applications of parabolic Dirac operators to the instationary viscous MHD equations on conformally flat manifolds". Birkhäuser, 2019.
    10.1007/978-3-030-23854-4_8
  4. Cerejeiras, Paula; Kähler, Uwe; Sommen, Franciscus; Vajiac, Adrian. "Script Geometry". In Modern Trends in Hypercomplex Analysis, 79-110. Springer International Publishing, 2016.
    10.1007/978-3-319-42529-0_5
  5. Kähler, Uwe. "Discrete Clifford analysis.". 2015.
    10.1007/978-3-0348-0667-1_18
  6. Kähler, Uwe. "Monogenic signal theory.". 2015.
    10.1007/978-3-0348-0667-1_14
  7. Kähler, Uwe. "Fractional Clifford analysis.". 2014.
    10.1007/978-3-319-08771-9_13
  8. Kähler, Uwe. "The Balian-Low theorem for the windowed Clifford-Fourier transform.". 2013.
    10.1007/978-3-0348-0603-9_15
  9. Blaya, Ricardo Abreu; Reyes, Juan Bory; Adán, Alí Guzmán; Kähler, Uwe. "Symmetries and Associated Pairs in Quaternionic Analysis". In Hypercomplex Analysis: New Perspectives and Applications, 1-18. Springer International Publishing, 2013.
    10.1007/978-3-319-08771-9_1
  10. Ku, Min; Kähler, Uwe; Cerejeiras, Paula. "Dirichlet-Type Problems for the Iterated Dirac Operator on the Unit Ball in Clifford Analysis". In Advances in Hypercomplex Analysis, 75-92. Springer Milan, 2013.
    10.1007/978-88-470-2445-8_5
  11. Cerejeiras, Paula; Ferreira, Milton; Kähler, Uwe. "Clifford Analysis and the Continuous Spherical Wavelet Transform". In Applied and Numerical Harmonic Analysis, 173-184. Birkhäuser Basel, 2006.
    10.1007/978-3-7643-7778-6_15
Conference paper
  1. Kähler, Uwe. "Finite element exterior calculus with script geometry". 2019.
    10.1063/1.5114147
  2. Kähler, U.. "Discrete hypercomplex function theory and its applications". 2015.
    10.1063/1.4912316
  3. Gürlebeck, K.; Kähler, U.; Legatiuk, D.. "An interpolation problem arising in a coupling of the finite element method with holomorphic basis functions". 2015.
    10.1063/1.4912655
  4. Kähler, Uwe. "Uncertainty Principle for Non-harmonic Quaternion Fourier Transform". Paper presented in 9th International conference on Clifford Algebras and its Applications in Mathematical Physics, Weimar, 2011.
    Published
  5. Kähler, Uwe; Paula Cerejeiras; Swanhild Bernstein; Svend Ebert. "Non-zonal wavelets on Sn". Paper presented in 18th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar, 2009.
    Published
Journal article
  1. Alpay, Daniel; Cerejeiras, Paula; Kaehler, Uwe; Schneider, Baruch. "$$\varvec{q}$$-rational Functions and Interpolation with Complete Nevanlinna–Pick Kernels". Integral Equations and Operator Theory 96 4 (2024): https://doi.org/10.1007/s00020-024-02779-2.
    Published • 10.1007/s00020-024-02779-2
  2. Dmitrii Legatiuk; Sebastian Bock; Uwe Kaehler. "Editorial on the special issue “Current topics in applied hypercomplex analysis”". Mathematical Methods in the Applied Sciences (2024): https://doi.org/10.1002/mma.10021.
    10.1002/mma.10021
  3. Alpay, Daniel; Cerejeiras, Paula; Kaehler, Uwe; Schneider, Baruch. "Generalized ¿-Fock spaces and structural identities". Proceedings of the American Mathematical Society (2024): https://doi.org/10.1090/proc/16720.
    Published • 10.1090/proc/16720
  4. Cerejeiras, P.; Colombo, F.; Debernardi Pinos, A.; Kähler, Uwe; Sabadini, I.. Corresponding author: Debernardi Pinos, A.. "Nuclearity and Grothendieck-Lidskii formula for quaternionic operators". Advances in Mathematics 442 (2024): 109558. https://doi.org/10.1016/j.aim.2024.109558.
    Published • 10.1016/j.aim.2024.109558
  5. Cerejeiras, P.; Kähler, U.; Kraußhar, R. S.. "Variational Principles in Quaternionic Analysis with Applications to the Stationary MHD Equations". Complex Analysis and Operator Theory 18 3 (2024): https://doi.org/10.1007/s11785-023-01455-4.
    Published • 10.1007/s11785-023-01455-4
  6. Almeida, M.; Cerejeiras, P.; Kähler, U.. "Nonlinear Riemann-Hilbert Problems for Axial- and Bi-axial-monogenic Functions". Complex Analysis and Operator Theory 18 1 (2023): https://doi.org/10.1007/s11785-023-01453-6.
    Published • 10.1007/s11785-023-01453-6
  7. Cerejeiras, Paula; Fink, Thomas; Forster, Brigitte; Kähler, Uwe. "Shift-invariant spline subspaces of Sobolev spaces and their order of approximation". Journal of Mathematical Analysis and Applications 528 1 (2023): 127444. http://dx.doi.org/10.1016/j.jmaa.2023.127444.
    Published • 10.1016/j.jmaa.2023.127444
  8. Cerejeiras, P.; Ferreira, M.; Kähler, U.; Wirth, J.. "Global Operator Calculus on Spin Groups". Journal of Fourier Analysis and Applications 29 3 (2023): http://dx.doi.org/10.1007/s00041-023-10015-5.
    Published • 10.1007/s00041-023-10015-5
  9. Alpay, Daniel; Cerejeiras, Paula; Kähler, Uwe; Kling, Trevor. "Commutators on Fock spaces". Journal of Mathematical Physics 64 4 (2023): http://dx.doi.org/10.1063/5.0080723.
    Published • 10.1063/5.0080723
  10. Paula Cerejeiras; Fabrizio Colombo; Uwe Käehler; Irene Sabadini. "Quaternionic triangular linear operators". Mathematical Methods in the Applied Sciences (2022): https://doi.org/10.1002/mma.8631.
    10.1002/mma.8631
  11. Daniel Alpay; Paula Cerejeiras; Uwe Kaehler. "Generalized Grassmann algebras and applications to stochastic processes". Mathematical Methods in the Applied Sciences (2022): https://doi.org/10.1002/mma.7781.
    10.1002/mma.7781
  12. Daniel Alpay; Paula Cerejeiras; Uwe Kähler. "Generalized white noise analysis and topological algebras". Stochastics (2021): https://doi.org/10.1080/17442508.2021.2016766.
    10.1080/17442508.2021.2016766
  13. Paula Cerejeiras; Uwe Kaehler; Simão Lucas. "Discrete pseudo-differential operators in hypercomplex analysis". Mathematical Methods in the Applied Sciences (2021): https://doi.org/10.1002/mma.7881.
    10.1002/mma.7881
  14. Cerejeiras, Paula; Kaehler, Uwe; Lucas, Simão. "Discrete pseudo-differential operators in hypercomplex analysis". Mathematical Methods in the Applied Sciences 47 10 (2021): 8025-8041. https://doi.org/10.1002/mma.7881.
    Published • 10.1002/mma.7881
  15. Cerejeiras, Paula; Kaehler, Uwe; Lucas, Simão. "Discrete pseudo-differential operators in hypercomplex analysis". Mathematical Methods in the Applied Sciences 47 10 (2021): 8025-8041. https://doi.org/10.1002/mma.7881.
    Published • 10.1002/mma.7881
  16. Alpay, Daniel; Cerejeiras, Paula; Kähler, Uwe. "Krein Reproducing Kernel Modules in Clifford Analysis". Journal d'Analyse Mathématique 143 (2021): 253-288. http://dx.doi.org/10.1007/s11854-021-0155-6.
    Published • 10.1007/s11854-021-0155-6
  17. Cerejeiras, Paula; Kähler, Uwe; Legatiuk, Anastasiia; Legatiuk, Dmitrii. "Discrete Hardy Spaces for Bounded Domains in $${\mathbb {R}}^{n}$$". Complex Analysis and Operator Theory 15 1 (2020): http://dx.doi.org/10.1007/s11785-020-01047-6.
    10.1007/s11785-020-01047-6
  18. Kähler, Uwe. "A Space-Based Method for the Generation of a Schwartz Function with Infinitely Many Vanishing Moments of Higher Order with Applications in Image Processing". Complex Analysis and Operator Theory (2019): http://dx.doi.org/10.1007/s11785-018-0832-3.
    10.1007/s11785-018-0832-3
  19. Kähler, Uwe. "Perturbation of normal quaternionic operators". Transaction of the American Mathematical Society (2019): http://dx.doi.org/10.1090/tran/7749.
    10.1090/tran/7749
  20. Paula Cerejeiras; Uwe Kähler; Dmitrii Legatiuk. "Interpolation of monogenic functions by using reproducing kernel Hilbert spaces". Mathematical Methods in the Applied Sciences 41 17 (2018): 8100-8114. https://doi.org/10.1002/mma.5271.
    10.1002/mma.5271
  21. Kähler, Uwe. "Methoden zur Identifikation von Zugvorbeifahrten aus kontinuierlichen Messdaten". Bautechnik (2018): http://dx.doi.org/10.1002/bate.201700115.
    10.1002/bate.201700115
  22. Johannes Nagler; Uwe Kähler. "Detection of C 2 -singularities using uniform spline approximations". Mathematical Methods in the Applied Sciences (2018): https://doi.org/10.1002/mma.4614.
    10.1002/mma.4614
  23. Dmitry Bryukhov; Uwe Kähler. "The Static Maxwell System in Three Dimensional Axially Symmetric Inhomogeneous Media and Axially Symmetric Generalization of the Cauchy–Riemann System". Advances in Applied Clifford Algebras (2017): https://doi.org/10.1007%2Fs00006-016-0739-x.
    10.1007/s00006-016-0739-x
  24. Ku, Min; Wang, Ying; He, Fuli; Kähler, Uwe. "Riemann¿Hilbert Problems for Monogenic Functions on Upper Half Ball of R^4". Advances in Applied Clifford Algebras 27 3 (2017): 2493-2508. http://dx.doi.org/10.1007/s00006-017-0789-8.
    Published
  25. Narciso Gomes; Stefan Hartmann; Uwe Kähler. "Compressed Sensing for Quaternionic Signals". Complex Analysis and Operator Theory (2017): https://doi.org/10.1007%2Fs11785-016-0607-7.
    10.1007/s11785-016-0607-7
  26. Kähler, U.; Ku, M.; Qian, T.. "Schwarz Problems for Poly-Hardy Space on the Unit Ball". Results in Mathematics 71 3-4 (2017): 801-823. http://www.scopus.com/inward/record.url?eid=2-s2.0-84978910540&partnerID=MN8TOARS.
    10.1007/s00025-016-0575-2
  27. Ku, M.; Kähler, U.. "Numerical Null-Solutions to Iterated Dirac Operator on Bounded Domains". Complex Analysis and Operator Theory 11 2 (2017): 307-328. http://www.scopus.com/inward/record.url?eid=2-s2.0-84975701900&partnerID=MN8TOARS.
    10.1007/s11785-016-0544-5
  28. Gürlebeck, K.; Kähler, U.; Legatiuk, D.. "Error Estimates for the Coupling of Analytical and Numerical Solutions". Complex Analysis and Operator Theory 11 5 (2017): 1221-1240. http://www.scopus.com/inward/record.url?eid=2-s2.0-84981225757&partnerID=MN8TOARS.
    10.1007/s11785-016-0583-y
  29. Cerejeiras, P.; Kähler, U.; Ku, M.. "Hilbert Boundary Value Problems with Fermionic Weight in R3". Advances in Applied Clifford Algebras 27 1 (2017): 87-98. http://www.scopus.com/inward/record.url?eid=2-s2.0-84969779485&partnerID=MN8TOARS.
    10.1007/s00006-016-0686-6
  30. Abreu Blaya, R.; Bory Reyes, J.; Adán, A.G.; Kähler, U.. "On the f -Hyperderivative of the ¿ -Cauchy-Type Integral in Clifford Analysis". Computational Methods and Function Theory 17 1 (2017): 101-119. http://www.scopus.com/inward/record.url?eid=2-s2.0-85014816912&partnerID=MN8TOARS.
    10.1007/s40315-016-0172-0
  31. Ku, M.; Wang, Y.; He, F.; Kähler, U.. "Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of R4". Advances in Applied Clifford Algebras 27 3 (2017): 2493-2508. http://www.scopus.com/inward/record.url?eid=2-s2.0-85019596403&partnerID=MN8TOARS.
    10.1007/s00006-017-0789-8
  32. Alpay, D.; Cerejeiras, P.; Kähler, U.. "Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics". Proceedings of the American Mathematical Society 145 11 (2017): 4821-4835. http://www.scopus.com/inward/record.url?eid=2-s2.0-85029587991&partnerID=MN8TOARS.
    10.1090/proc/13613
  33. Cheng, W.; Ryan, J.; Kähler, U.. "Spherical ¿ -Type Operators in Clifford Analysis and Applications". Complex Analysis and Operator Theory 11 5 (2017): 1095-1112. http://www.scopus.com/inward/record.url?eid=2-s2.0-85011928258&partnerID=MN8TOARS.
    10.1007/s11785-017-0641-0
  34. Cerejeiras, P.; Colombo, F.; Kähler, U.; Sabadini, I.. "Preface". Complex Analysis and Operator Theory 11 5 (2017): 977-978. http://www.scopus.com/inward/record.url?eid=2-s2.0-85020041941&partnerID=MN8TOARS.
    10.1007/s11785-017-0678-0
  35. Kähler, Uwe. "On the $¿$-operator in Clifford analysis.". J. Math. Anal. Appl. (2016):
    10.1016/j.jmaa.2015.09.038
  36. He, F.; Ku, M.; Dang, P.; Kähler, U.. "Riemann-Hilbert problems for poly-Hardy space on the unit ball". Complex Variables and Elliptic Equations 61 6 (2016): 772-790. http://www.scopus.com/inward/record.url?eid=2-s2.0-84952793107&partnerID=MN8TOARS.
    10.1080/17476933.2015.1123698
  37. He, F.; Ku, M.; Kähler, U.; Sommen, F.; Bernstein, S.. "Riemann–Hilbert problems for null-solutions to iterated generalized Cauchy–Riemann equations in axially symmetric domains". Computers and Mathematics with Applications 71 10 (2016): 1990-2000. http://www.scopus.com/inward/record.url?eid=2-s2.0-84963526757&partnerID=MN8TOARS.
    10.1016/j.camwa.2016.03.017
  38. He, F.; Ku, M.; Kähler, U.; Sommen, F.; Bernstein, S.. "Riemann-Hilbert problems for monogenic functions in axially symmetric domains". Boundary Value Problems 2016 1 (2016): 1-11. http://www.scopus.com/inward/record.url?eid=2-s2.0-84955453863&partnerID=MN8TOARS.
    10.1186/s13661-016-0530-x
  39. He, F.; Ku, M.; Kähler, U.. "Szegö kernel for hardy space of matrix functions". Acta Mathematica Scientia 36 1 (2016): 203-214. http://www.scopus.com/inward/record.url?eid=2-s2.0-84949642660&partnerID=MN8TOARS.
    10.1016/S0252-9602(15)30088-6
  40. Abreu Blaya, R.; Bory Reyes, J.; Guzmán Adán, A.; Kaehler, U.. "On some structural sets and a quaternionic (¿, ¿)-hyperholomorphic function theory". Mathematische Nachrichten 288 13 (2015): 1451-1475. http://www.scopus.com/inward/record.url?eid=2-s2.0-84940584854&partnerID=MN8TOARS.
    10.1002/mana.201300072
  41. Cerejeiras, P.; Kähler, U.; Ku, M.. "Discrete Hilbert boundary value problems on half lattices". Journal of Difference Equations and Applications 21 12 (2015): 1277-1304. http://www.scopus.com/inward/record.url?eid=2-s2.0-84949108106&partnerID=MN8TOARS.
    10.1080/10236198.2015.1071804
  42. Fu, Y.; Li, L.; Kaehler, U.; Cerejeiras, P.. "On the Fock space of metaanalytic functions". Journal of Mathematical Analysis and Applications 414 1 (2014): 176-187. http://www.scopus.com/inward/record.url?eid=2-s2.0-84893937988&partnerID=MN8TOARS.
    10.1016/j.jmaa.2013.12.058
  43. Kähler, Uwe. "Generating functions for spherical harmonics and spherical monogenics.". Adv. Appl. Clifford Algebr. (2014):
    10.1007/s00006-014-0495-8
  44. Kähler, Uwe. "A short note on the local solvability of the quaternionic Beltrami equation.". Adv. Appl. Clifford Algebr. (2014):
    10.1007/s00006-014-0494-9
  45. Kähler, Uwe. "Hodge type decomposition in variable exponent spaces for the time-dependent operators: the Schrödinger case.". Commun. Pure Appl. Anal. (2014):
    10.3934/cpaa.2014.13.2253
  46. Kähler, Uwe. "Discrete Hardy spaces.". J. Fourier Anal. Appl. (2014):
    10.1007/s00041-014-9331-8
  47. Kähler, Uwe. "Lax pairs for 3D spatial problems based on the Dirac operator.". Complex Var. Elliptic Equ. (2014):
    10.1080/17476933.2013.804516
  48. Ren, G.; Kähler, U.. "Pseudohyperbolic metric and uniformly discrete sequences in the real unit ball". Acta Mathematica Scientia 34 3 (2014): 629-638. http://www.scopus.com/inward/record.url?eid=2-s2.0-84899651958&partnerID=MN8TOARS.
    10.1016/S0252-9602(14)60035-7
  49. Kähler, Uwe. "Half Dirichlet problem for the Hölder continuous matrix functions in Hermitian Clifford analysis.". Complex Var. Elliptic Equ. (2013):
    10.1080/17476933.2011.649738
  50. Fu, Y.; Kaehler, U.; Cerejeiras, P.. "The Balian-Low theorem for a new kind of Gabor system". Applicable Analysis 92 4 (2013): 799-813. http://www.scopus.com/inward/record.url?eid=2-s2.0-84874609165&partnerID=MN8TOARS.
    10.1080/00036811.2011.640626
  51. Kähler, Uwe. "On the Riemann boundary value problem for null solutions to iterated generalized Cauchy-Riemann operator in Clifford analysis.". Result. Math. (2013):
    10.1007/s00025-012-0274-6
  52. Chen, Q.; Ren, G.; Cerejeiras, P.; Kaehler, U.. "Non-separable multivariate filter banks from univariate wavelets". Mathematische Nachrichten 286 10 (2013): 951-969. http://www.scopus.com/inward/record.url?eid=2-s2.0-84879724945&partnerID=MN8TOARS.
    10.1002/mana.201000100
  53. Kähler, Uwe. "The Balian-Low theorem for the windowed quaternionic Fourier transform.". Adv. Appl. Clifford Algebr. (2012):
    10.1007/s00006-012-0324-x
  54. Kähler, Uwe. "Riemann boundary value problems on the sphere in Clifford analysis.". Adv. Appl. Clifford Algebr. (2012):
    10.1007/s00006-011-0308-2
  55. Kähler, Uwe. "Hardy-Littlewood inequalities for fractional derivatives of invariant harmonic functions.". Complex Anal. Oper. Theory (2012):
    10.1007/s11785-010-0123-0
  56. Cerejeiras, P.; Chen, Q.; Kaehler, U.. "Bedrosian Identity in Blaschke Product Case". Complex Analysis and Operator Theory 6 1 (2012): 275-300. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856214010&partnerID=MN8TOARS.
    10.1007/s11785-010-0092-3
  57. Ku, M.; Kähler, U.; Cerejeiras, P.. "Solutions to a class of polynomially generalized Bers-Vekua equations using Clifford analysis". Archivum Mathematicum 48 5 (2012): 371-385. http://www.scopus.com/inward/record.url?eid=2-s2.0-84873649082&partnerID=MN8TOARS.
    10.5817/AM2012-5-371
  58. Kähler, Uwe. "Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles.". Appl. Comput. Harmon. Anal. (2011):
    10.1016/j.acha.2011.01.005
  59. Kähler, Uwe. "Chirp transforms and chirp series.". J. Math. Anal. Appl. (2011):
    10.1016/j.jmaa.2010.07.037
  60. De Ridder, H.; De Schepper, H.; Kähler, U.; Sommen, F.. "Discrete function theory based on skew weyl relations". Proceedings of the American Mathematical Society 138 9 (2010): 3241-3256. http://www.scopus.com/inward/record.url?eid=2-s2.0-77953345561&partnerID=MN8TOARS.
  61. Kähler, Uwe. "A necessary and sufficient condition for a Bedrosian identity.". Math. Methods Appl. Sci. (2010):
    10.1002/mma.1221
  62. Kähler, Uwe. "Wavelets invariant under finite reflection groups.". Math. Methods Appl. Sci. (2010):
    10.1002/mma.1220
  63. Kähler, Uwe. "Spherical Dunkl-monogenics and a factorization of the Dunkl-Laplacian.". J. Phys. A, Math. Theor. (2010):
    10.1088/1751-8113/43/44/445202
  64. Kähler, Uwe. "Fueter's theorem and its generalizations in Dunkl-Clifford analysis.". J. Phys. A, Math. Theor. (2009):
    10.1088/1751-8113/42/39/395209
  65. Kähler, Uwe. "Almansi decomposition for poly-ultrahyperbolic functions.". Acta Math. Sin., Engl. Ser. (2009):
    10.1007/s10114-009-7023-0
  66. Kähler, Uwe. "Fischer decomposition and Cauchy kernel for Dunkl-Dirac operators.". Adv. Appl. Clifford Algebr. (2009):
    10.1007/s00006-009-0151-x
  67. Kähler, Uwe. "On a factorization of the Schrödinger and Klein-Gordon operators.". Math. Methods Appl. Sci. (2008):
    10.1002/mma.999
  68. Kähler, Uwe. "Fischer decomposition for difference Dirac operators.". Adv. Appl. Clifford Algebr. (2007):
    10.1007/s00006-006-0016-5
  69. Cerejeiras, P.; Ferreira, M.; Kähler, U.; Sommen, F.. "Continuous wavelet transform and wavelet frames on the sphere using Clifford analysis". Communications on Pure and Applied Analysis 6 3 (2007): 619-641. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547953560&partnerID=MN8TOARS.
  70. Kähler, Uwe. "Discrete Dirac operators in Clifford analysis.". Adv. Appl. Clifford Algebr. (2007):
    10.1007/s00006-007-0041-z
  71. Kähler, Uwe. "Difference potentials for the Navier--Stokes equations in unbounded domains.". J. Difference Equ. Appl. (2006):
    10.1080/10236190600637965
  72. Kähler, Uwe. "Clifford analysis for finite reflection groups.". Complex Var. Elliptic Equ. (2006):
    10.1080/17476930500482499
  73. Kähler, Uwe. "Almansi decompositions for polyharmonic, polyheat, and polywave functions.". Stud. Math. (2006):
    10.4064/sm172-1-5
  74. Kähler, Uwe. "Monogenic frames for an integral transform on the unit sphere.". Complex Var. Elliptic Equ. (2006):
    10.1080/02781070500319672
  75. Cerejeiras, P.; Ferreira, M.; Kähler, U.. "Monogenic wavelets over the unit ball". Zeitschrift fur Analysis und ihre Anwendung 24 4 (2005): 841-852. http://www.scopus.com/inward/record.url?eid=2-s2.0-32044475373&partnerID=MN8TOARS.
  76. Ren, G.; Kähler, U.. "Hardy-Littlewood inequalities and Qp-spaces". Zeitschrift fur Analysis und ihre Anwendung 24 2 (2005): 375-388. http://www.scopus.com/inward/record.url?eid=2-s2.0-27144523472&partnerID=MN8TOARS.
  77. Cerejeiras, P.; Kähler, U.; Sommen, F.. "Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains". Mathematical Methods in the Applied Sciences 28 14 (2005): 1715-1724. http://www.scopus.com/inward/record.url?eid=2-s2.0-25144450925&partnerID=MN8TOARS.
    10.1002/mma.634
  78. Kähler, Uwe. "Weighted Lipschitz continuity and harmonic Bloch and Besov spaces in the real unit ball.". Proc. Edinb. Math. Soc., II. Ser. (2005):
    10.1017/S0013091502000020
  79. Kähler, Uwe. "Boundary behavior of Gleason's problem in hyperbolic harmonic Bergman spaces.". Sci. China, Ser. A (2005):
    10.1360/03ys0176
  80. Harbrecht, H.; Kähler, U.; Schneider, R.. "Wavelet Galerkin BEM on unstructured meshes". Computing and Visualization in Science 8 3-4 (2005): 189-199. http://www.scopus.com/inward/record.url?eid=2-s2.0-29044433256&partnerID=MN8TOARS.
    10.1007/s00791-005-0009-2
  81. Ren, G.; Kähler, U.. "Radial derivative on bounded symmetric domains". Studia Mathematica 157 1 (2003): 57-70. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038796580&partnerID=MN8TOARS.
    10.4064/sm157-1-5
  82. Kähler, Uwe. "Weighted harmonic Bloch spaces and Gleason's problem.". Complex Variables, Theory Appl. (2003):
    10.1080/0278107031000073605
  83. Kähler, Uwe. "Clifford analysis on projective hyperbolic space. II.". Math. Methods Appl. Sci. (2002):
    10.1002/mma.382
  84. Ren, G.; Kähler, U.. "Weighted Hölder continuity of hyperbolic harmonic Bloch functions". Zeitschrift fur Analysis und ihre Anwendung 21 3 (2002): 599-610. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036378056&partnerID=MN8TOARS.
    10.4171/ZAA/1097
  85. Cerejeiras, P.; Gürlebeck, K.; Kähler, U.; Malonek, H.. "A quaternionic Beltrami-type equation and the existence of local homeomorphic solutions". Zeitschrift fur Analysis und ihre Anwendung 20 1 (2001): 17-34. http://www.scopus.com/inward/record.url?eid=2-s2.0-25844450887&partnerID=MN8TOARS.
  86. Kähler, Uwe. "Clifford analysis and the Navier-Stokes equations over unbounded domains.". Adv. Appl. Clifford Algebr. (2001):
    10.1007/BF03042225
  87. Kähler, Uwe. "Quaternionic Beltrami-type equations and homeomorphic solutions.". Adv. Appl. Clifford Algebr. (2001):
    10.1007/BF03219130
  88. Cerejeiras, P.; Kähler, U.; Kähler, Uwe. "Elliptic boundary value problems of fluid dynamics over unbounded domains". Mathematical Methods in the Applied Sciences 23 1 (2000): 81-101. http://www.scopus.com/inward/record.url?eid=2-s2.0-0342484446&partnerID=MN8TOARS.
    10.1002/(SICI)1099-1476(20000110)23:1<81::AID-MMA105>3.0.CO;2-Z
  89. Kähler, U.. "On a direct decomposition of the space Lp(O)". Zeitschrift fur Analysis und ihre Anwendung 18 4 (1999): 839-848. http://www.scopus.com/inward/record.url?eid=2-s2.0-22844456111&partnerID=MN8TOARS.
  90. Kähler, Uwe. "On the $¿$-operator in hyperholomorphic function theory.". Adv. Appl. Clifford Algebr. (1999):
    10.1007/BF03041935
  91. Kähler, Uwe. "Clifford analysis over unbounded domains.". Adv. Appl. Math. (1997):
    10.1006/aama.1997.0541
  92. Gürlebeck, K.; Kähler, U.. "On a boundary value problem of the biharmonic equation". Mathematical Methods in the Applied Sciences 20 10 (1997): 867-883. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031189847&partnerID=MN8TOARS.
    10.1002/(SICI)1099-1476(19970710)20:10<867::AID-MMA888>3.0.CO;2-W
  93. Kähler, Uwe. "On a spatial generalization of the complex $¿$-operator.". Z. Anal. Anwend. (1996):
    10.4171/ZAA/700
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/01/12 Grothendieck-Lidskii formulae in hypercomplex analysis 2024 Workshop on Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems
Chapman University (Orange, C.A., United States)
2024/01/03 Triangular decompositions of quaternionic non-self-adjoint operators Joint Mathematics Meeting 2024
American Mathematical Society (San Francisco, United States)
2023/09/27 Fock spaces over ternary Grassmann algebras and its applications to stochastic processes in hypersymmetry DMV Jahrestagung 2023
TU Ilmenau (Ilmenau, Germany)
2023/06/05 Nonlinear RH problems for monogenic functions 13th International Conference on Clifford Algebras and its Applications
Holon Institute of Technology (Holon, Israel)
2023/05/25 Global pseudo-differential operator calculus over spin groups Journee Nationale des Mathematiques
Faculté des Sciences et Techniques de Settat - UH1 (Settat, Morocco)
2023/04/24 White noise space analysis over non-commutative structures International Conference on Mathematical Methods in Physics
(Marrakesh, Morocco)
2022/11/16 Quaternionic non-self adjoint operators and their spectral theory Advances in Operator Theory with Applications to Mathematical Physics
Chapman University (Orange, United States)
2022/10/24 Ruzhansky-Turunen-Wirth calculus in the case of Spin groups Ghent Geometric Analysis Seminar
Ghent University (Ghent, Belgium)
2022/09/06 Global pseudo-differential operator calculus over Spin(4) International Workshop on Operator Theory and its Applications (IWOTA 2022)
University of Agriculture in Krakow, Jagiellonian University, and AGH University of Science and Technology (Cracow, Poland)
2021/08/11 Quaternionic non-selfadjoint operators and their spectral theory 32nd International Workshop on Operator Theory and its Applications
Chapman University (Orange, C.A., United States)
2021/08/11 Quaternionic non-self adjoint operators and their spectral theory International Workshop on Operator Theory and Applications (IWOTA 2021)
Chapman University, (Orange, United States)
2020/09/03 Generalized white noise analysis and stochastic distributions GF2020 International Conference on Generalized Functions
Ghent University (Ghent, Belgium)
2020/08/19 Quaternionic Volterra operators and triangular representations International Conference on Noncommutative Analysis
Ghent University (Ghent, Belgium)
2017/09/14 Methods from discrete function theory for studying discrete boundary value problems Applied Mathematics Seminar
Hubei University of Technology (Hubei, China)
2017/09/09 Clifford-Krein modules with reproducing kernels Seminar of School of Mathematics
University of Science and Technology of China (Hefei, China)
2017/09/07 Discrete Dirac operators and Script geometry Colloquium of the School of Mathematics
University of Electric Science and Technology of China (Chengdu, China)
2017/08/08 Compressed sensing for quaternionic signals Mini-symposium „Quaternion and Clifford Fourier transforms and related integral transforms in theory and applications“, 11th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA11)
Ghent University (Ghent, Belgium)
2017/07/19 Higher-dimensional discrete function theory and its applications Workshop "Funktionentheorie und Anwendungen in der Physik",
Universität Passau (Passau, Germany)
2017/07/05 Wavelet and Gabor frames for diffraction tomography 8th International conference on MATHEMATICAL MODELING
North-Eastern Federal University (Yakutsk, Russia)
2016/06/22 Discrete Monogenic Functions in Image Processing and Mathematical Optics Mathematical Optics, Image Modeling and Algorithms - MOIMA 2016
Volkswagen Stiftung (Hannover, Germany)
2016/04/12 Wavelet and Gabor frames on the three-sphere Noncommutative Analysis and Partial Differential Equations
Imperial College London (London, United Kingdom)
2016/02/08 Fractional Dirac operators and Noncommutative Harmonic Analysis A day of new aspects of (hyper)complex Analysis and Applications
Ben-Gurion University of the Negev (Beer-Sheva, Israel)
2016/01/07 Compressed sensing for quaternionic representation of color images Chapman University Mathematics and Computational Science seminar
Chapman University (Orange, United States)
2015/06/12 Discrete function theory and Hardy spaces AMS-EMS-SPM Meeting 2015
Universidade do Porto (Porto, Portugal)
2014/10/31 Quaternionic Beltrami equations - past and present Workshop "Five Decades of Clifford Analysis - Balance and Outlook" - On the occasion of the birthday of Klaus Gürlebeck
Universidade de Aveiro (Aveiro, Portugal)
2014/10/18 Crystallographic structures: how to make an effective reconstruction by the spherical X-ray transform? CECHA Workshop on Integral transforms, boundary values and generalized functions
Chapman University (Orange, United States)
2014/09/22 Discrete Function Theories in higher dimensions and their Applications Discrete Function Theories in higher dimensions and their Application
International Conference on Numerical Analysis and Applied Mathematics (Rhodes, Greece)
2014/08/06 Fractional Clifford Analysis 10th International Conference on Clifford Algebras and their Applications
University of Tartu (Tartu, Estonia)
2014/06/25 Discrete Hardy spaces Seminar
Bauhaus-Universität Weimar (Weimar, Germany)
2014/06/24 Non-commutative harmonic analysis for fractional Dirac operators International conference on Noncommutative Analysis Operator Theory and Applications
Politecnico di Milano (Milano, Italy)
2014/04/25 Beltrami equations in Clifford analysis Yu Wenjun Seminar of School of Mathematics
University of Science and Technology of China (Hefei, China)
2014/03/05 Discrete Dirac operators and non-commutative harmonic analysis 4th Microlocal day
Imperial College London (London, United Kingdom)
2013/11/29 Towards a discrete function theory in higher dimensions - Fischer decomposition and discrete monogenics Seminar of the Mathematical Institute
Charles University Prague (Prague, Czech Republic)
2013/07/16 Funktionentheorien über nichtkommutative Strukturen via Weyl-Relationen Oberseminar: Analysis partieller Differentialgleichungen
Ludwig-Maximilian Universität München (München, Germany)
2013/06/25 Discrete Dirac operators and Harmonic Analysis Yu Wenjun Seminar of School of Mathematics
University of Science and Technology of China (Hefei, China)
2013/06/21 Analytic functions and compressed sensing Applied Mathematics Seminar
Hubei University of Technology (Wuhan, China)
2013/04/30 Towards a discrete function theory in higher dimensions - Fischer decomposition Yorkshire Functional Analysis Seminar
University of Leeds (Leeds, United Kingdom)
2012/10/24 Discrete Function theories in the case of bicomplex and hyperbolic numbers International Workshop on Function Theories for Bicomplex and Hyperbolic Numbers
Chapman University (Orange, United States)
2012/03/29 Spherical frames and the reconstruction of crystallographic structures London Analysis and Probability Seminar
Imperial College London (London, United Kingdom)
2012/03/10 Gabor Frames in Dirac analysis 2012 AMS Spring Southeastern Section Meeting, Special Session on Dirac analysis
University of South Florida (Tampa, United States)
2012/02/06 Hypercomplex signals and multi-dimensional function theories Colloquium of the Institut for Biomathematics and Biometry
HelmholtzZentrum - German research center for environmental health (München, Germany)
2011/11/24 Discrete Clifford analysis Colloquium of the Institut of Appl. Math. I, Faculty of Math. and Inf.
TU Bergakademie Freiberg (Freiberg, Germany)
2011/08/23 Discrete Clifford analysis Special Session „Clifford and quaternionic analysis“, 8th International Congress ISAAC 2011
Peoples Friendship University (Moscow, Russia)
2011/05/13 Frame approximation, non-linear Fourier atoms, and sparse recovery Seminar of School of Mathematics
Universidade de Macau (Macau, China)
2011/05/04 Frame approximation in Clifford analysis Seminar of School of Mathematics
Wuhan University (Wuhan, China)
2011/04/27 Clifford analysis and Scattering Seminar of School of Mathematics
Wuhan University (Wuhan, China)
2011/04/26 Reconstruction of crystallographic structures Applied Mathematics Seminar
Hubei University of Technology (Wuhan, China)
2011/04/18 Gabor Frames on the sphere and the inversion of the noisy Radon transform Prof. Wenjun Wu Academic Lecture Series
University of Science and Technology of China (Hefei, China)
2011/03/05 Sommen-Weyl relations and their applications in discrete Clifford analysis Mathematical Seminar
Chinese Academy of Science - Wuhan Branch (Wuhan, China)
2010/09/15 Different notions of regularity of functions of a discrete four-dimensional variable Workshop on Different Notions of Regularity for Functions of Quaternionic Variable
Istituto Nazionale di Alta Matematica (INdAM) (Roma, Italy)
2010/08/15 Conformal monogenic signals 18th International conference on Finite and Infinite Complex Analysis
Universidade de Macau (Macau, China)
2010/05/06 Clifford analysis on projective spaces and conformal signals Prof. Wenjun Wu Academic Lecture Series
University of Science and Technology of China (Hefei, China)
2010/04/13 Hypercomplex function theory and analytic signals in higher dimensions Seminar of the Institute of Automation
Academy of Sciences (Beijing, China)
2010/03/10 Clifford Analysis and monogenic signals DMV-Meeting 2010, Mini-symposium „Phase Information in Signals and Images“
Ludwig-Maximilian University (München, Germany)
2008/04/02 Harmonic analysis for space groups GAMM conference 2008
Universität Bremen (Bremen, Germany)
2007/09/04 Clifford analysis and analytic signals Workshop on Clifford Analysis and Applications - WCAA 2007
Ghent University (Ghent, Belgium)
2007/08/08 Monogenic signals – Sampling and Interpolation secção “Quaternionic and Clifford Analysis”, 6nd ISAAC Congress
Middle East Technical University (Ankara, Turkey)
2007/07/19 About the mathematical foundation of the Huang-Hilbert transform ICIAM 2007
ETH Zurich (Zurich, Switzerland)
2007/05/04 Monogenic signals over the unit ball International conference on Applied Analysis
CINVESTAV Queretáro (Queretáro, Mexico)
2006/06/15 Wavelet Frames on the Sphere International conference on “Function Theories in Higher Dimensions”
Tampere University of Technology (Tampere, Finland)
2006/03/30 Frames for the continuous spherical wavelet transform GAMM conference 2006
Technische Universität Berlin (Berlin, Germany)
2005/11/30 Clifford analysis and Frames for the continuous spherical wavelet transform 4th International conference on Wavelet Analysis and Applications
Universidade de Macau (Macau, China)
2005/06/14 Clifford analysis for reflection groups Computational Methods and Function Theory - CMFT 2005
University of Joensuu (Joensuu, Finland)
2005/06/04 Clifford analysis of parabolic Dirac operators 8th Annual Workshop on Applications and Generalizations of Complex Analysis
Universidade de Aveiro (Aveiro, Portugal)
2005/05/27 Parabolic Dirac operators secção “Algebraic structures” – 7th International Conference on Clifford Algebras and their Applications in Mathematical Physics
Universidade “Paul Sabatier” (Toulouse, France)
2005/05/21 Clifford analysis and parabolic Dirac operators Tag der Funktionentheorie
Technische Universität Bergakademie Freiberg (Freiberg, Germany)
2005/04/01 Parabolic Dirac operators and the Navier-Stokes equations over time-varying domain GAMM conference 2005
University of Luxemburg (Luxemburg, Luxembourg)
2004/08/25 Wavelets and Clifford analysis International conference on Applied Mathematics - ICAM 2004
University of Hanoi (Hanoi, Vietnam)
2004/03/23 Clifford analysis and the Navier-Stokes equations over unbounded domains GAMM conference 2004
Universität Dresden (Dresden, Germany)
2003/12/05 Interpolating wavelets and non-linear diffusion equations Workshop on Clifford analysis and its applications
Bauhaus-Universität Weimar (Weimar, Germany)
2003/06/12 Multiresolution analysis on Qp-Space XII. International Colloquium on the Application of Mathematics and Informatics in Architecture and Civil engineering
Bauhaus-Universität Weimar (Weimar, Germany)
2002/08/17 Numerical Clifford analysis for the Navier-Stokes equations International Conference on Clifford Analysis and its Applications, Satellite conference to ICM 2002
Universidade de Macau (Macau, China)
2002/05/22 Qp-spaces and Hardy-Littlewood inequalities 6th International Conference on Clifford Algebras and their Applications in Mathematical Physics
Tennessee Technological University (Cookeville, TX, United States)
2001/08/23 Navier-Stokes equations and Besov spaces in Clifford analysis 3rd ISAAC Congress
Freie Universität Berlin (Berlin, Germany)
2001/06/27 Applications of a discrete function theory to partial differential equations over unbounded domain Computational Methods and Function Theory - CMFT 2001
Universidade de Aveiro (Aveiro, Portugal)
2001/03/13 On Hyperbolic Beltrami Equation 4th Annual Workshop on Applications and Generalizations of Complex Analysis
Universidade de Coimbra (Coimbra, Portugal)
2000/10/30 On Beltrami equations in quaternionic and Clifford Analysis Clifford Analysis and its Applications, NATO Advanced Research Workshop
Charles University Prague (Prague, Czech Republic)
2000/09/15 Elliptic Boundary Value Problems over unbounded domain International Workshop on Operator Theory and Analysis
Universidade de Faro (Faro, Portugal)
2000/08/03 On Quaternionic Beltrami equations and its quasiconformal solutions International Conference on Clifford Analysis, Its Applications and Related Topics
Academy of Sciences (Beijing, China)
2000/07/27 Introduction to Quaternionic Analysis Seminário principal do Departamento de Matemática
Universidade de Würzburg (Würzburg, Germany)
1999/08/17 The Navier-Stokes equations over unbounded domains 2nd ISAAC Congress
Fukuoka University (Fukuoka, Japan)
1999/07/03 On quaternionic Beltrami equations 5th International Conference on Clifford Algebras and their Applications in Mathematical Physics
Ixtapa - Zihuatanejo (Ixtapa - Zihuatanejo, Mexico)
1999/02/26 About some new problems in hypercomplex function theory Seminário de Matemática do Departamento de Engenharia Civil da Universidade de Bauhaus
Universidade de Bauhaus (Weimar, Germany)
1998/10/04 Clifford analysis and the Navier-Stokes equations in unbounded domains International Conference on Dirac Operators and Applications
Cetraro (Cetraro , Italy)
1997/12/13 Stokes and Navier-Stokes equations over unbounded domains Colloquium of the Institut of Appl. Math. I, Faculty of Math. and Inf.
Bergakademie Freiberg University of Technology
1997/06/20 Elliptic boundary value problems in unbounded domains CINVESTAV
(México, D.F., Mexico)
1997/06/12 Potential theory and quaternionic function theory Seminário
ESFM del IPN (México, D.F., Mexico)
1997/06/05 Elliptic boundary value problems in bounded and unbounded domains 1st ISAAC congress, Section “Analysis of Dirac-operators”
University of Delaware (Newark, United States)
1996/09/18 On spatial generalizations of a complex singular integral operator Students conference of the German Mathematical Society
Friedrich-Schiller-Universität Jena (Jena, Germany)
1996/08/17 On the application of hypercomplex P-operators to the solution of Beltrami systems VI. International Colloquium on Numerical Analysis
(Plovdiv, Bulgaria)
1996/06/07 Applications of a hypercomplex P-operator to the solution of Beltrami system International symposium ``Analytical and numerical methods in quaternionic and Clifford analysis´´
(Seiffen, Germany)
1996/05/31 Elliptic boundary value problems over unbounded domains 4th International Conference on Clifford Algebras and their Applications in Mathematical Physics
RWTH Aachen (Aachen, Germany)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2021/10/01 - 2025 Modern Methods in 3D Electrical Impedance Tomography
Co-supervisor
 Matemática (PhD)
2019/10/01 - 2023 On the uniqueness of the Calderón problem and its application in Electrical Impedance Tomography
Supervisor
 Matemática (PhD)
2020/07/20 - 2021/02/25 Discontinuous Galerkin method with adaptive mesh refinement for time-domain electromagnetic problems
Co-supervisor
 Physics (Master)
2015/10/01 - 2019/11/15 Curvature Detection by Integral Transforms
Co-supervisor
Universität Passau, Germany
2018/10/01 - 2019/06/14 O problema de conductividade inverso de Calderón a duas dimensões: a abordagem de Nachman e o caso de conductividade complexa
Supervisor of Ivan Mira Pombo
 Mestrado em Matemática (Master)
Universidade de Aveiro, Portugal
2011/10/09 - 2015/10/09 Digital Curvature Estimation: An Operator Theoretic Approach
Co-supervisor
2011/09/01 - 2015/09/29 Compressed Sensing in Clifford Analysis
Supervisor of Narciso Resende Gomes
 Programa doutoral em Matemática aplicada (PhD)
2009/10/01 - 2010/10/05 Modelação e Simulação Numérica de Problemas Electrostáticos e Magnetostáticos numa Superfície ou num Corpo
Supervisor
 Matemática aplicada em Engenharias (Master)
Universidade de Cabo Verde, Cape Verde

Universidade de Aveiro, Portugal
2005/09/01 - 2009/03/26 Discrete Clifford Analysis
Supervisor
2007/10/01 - 2008/07/16 Amostragem uniforme e não-uniforme
Supervisor
 Mestrado em Matemática (Master)
Universidade de Aveiro, Portugal
2007/10/01 - 2008/05/01 Representações esparsas e algoritmos gananciosos
Supervisor
 Mestrado em Matemática (Master)
Universidade de Aveiro, Portugal
2004/09/01 - 2008/01/04 Continuous Wavelet transforms on the unit sphere
Supervisor

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2018/08/01 - 2020/08/31 Organization of 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA12) with 280 participants (2020/08/03 - 2020/08/07)
Conference (Co-organisor)
2020/08/03 - 2020/08/07 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA12) (2020/08/03 - 2020/08/07)
Conference (Co-organisor)
 University of Science and Technology of China, China
2019/07/29 - 2019/08/02 12th International ISAAC Congress of the International Society for Analysis, its Applications and Computation (ISAAC) with more than 600 participants (2019/07/29 - 2019/08/02)
Congress (Member of the Organising Committee)
 Universidade de Aveiro, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2023/10/27 Hypercomplex Algebra and Sparse Optimisation in Multiband Image Processing
(Thesis) Main arguer
 Srdan Lazendic (PhD)
Universiteit Gent, Belgium
2023/05/26 Théorémes de Boas pour certaines Transformations Intégrales
(Thesis) Arguer
 El Mehdi Berkak (PhD)
Université Hassan II de Casablanca, Morocco
2023/05/25 Time-frequency analysis of some Differential Operators
(Thesis) Main arguer
 Abdelaâli Dades (PhD)
Université Hassan II de Casablanca, Morocco
2022/03/25 Some results for generalized Cauchy-Riemann differential equation systems theory
(Thesis) Main arguer
 Baruch Schneider (Aggregation)
Ostravska univerzita, Czech Republic
2022/02/24 Optimisation in the Construction of Multidimensional Wavelets
(Thesis) Main arguer
 Neil Kristofer D. Dizon (PhD)
The University of Newcastle, Australia
2021/07/02 Radon type transforms in Clifford analysis
(Thesis) Main arguer
 Ren Hu (PhD)
Universiteit Gent, Belgium
2013/06/28 Adaptive Signal Decomposition of Hardy Space
(Thesis) Main arguer
 Li Shuang (PhD)
University of Macau, Macau SAR China
2013/05/21 Discrete Clifford analysis: function theory and integral transforms
(Thesis) Main arguer
 Hilde de Ritter (PhD)
Universiteit Gent, Belgium
2012/12/19 Boundary Value Problems in Orthogonal and Hermitian Clifford Analysis
(Thesis) Main arguer
 Ricardo Abreu Blaya (Aggregation)
Universidad de Holguín Oscar Lucero Moya, Cuba
2012/12/11 Monogenic Wavelet Frames for Image Analysis
(Thesis) Main arguer
 Stefan Held (PhD)
Technische Universität München, Germany
2011/11/25 Wavelets on Lie groups and homogeneous spaces
(Thesis) Main arguer
 Svend Ebert (PhD)
Technische Universität Bergakademie Freiberg, Germany

Association member

Society Organization name Role
2009/09/01 - Current International Society for Analysis, its Applications and Computatio (ISAAC)
1998 - Current Gesellschaft für angewandte Mathematik und Mechanik Member
1996/09/01 - Current Deutsche Mathematiker Vereinigung (DMV) Member

Committee member

Activity description
Role 		Institution / Organization
2021/08/06 - Current President of the International Society for Analysis, its Applications, and Computation
President / Vice-president
 International Society for Analysis, its Applications and Computation, Sweden
2019/08/02 - 2021/08/06 Vice-President of the International Society for Analysis, its Applications and Computation (ISAAC)
President / Vice-president
 International Society for Analysis, its Applications and Computation, Sweden

Conference scientific committee

Conference name Conference host
2023/07/17 - 2023/07/21 14th International Congress of the Society for Analysis, its Applications, and Computation Universidade de São Paulo, polo Ribeirão Preto
2021/08/02 - 2021/08/06 13th ISAAC Congress GHent University

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2023/08/17 - 2023/08/21 Reproducing kernels in hypercomplex analysis PhD Summer School Modern Problems in PDEs and Applications (Doktor (PhD)) Universiteit Gent, Belgium

Evaluation committee

Activity description
Role 		Institution / Organization Funding entity
2022/04/01 - 2022/07/01 Avaliador de projectos nacionais de Czech Science Foundation (GACR, República Checa) no ano 2022
Evaluator
 Grantová agentura Ceské republiky
2015/12/01 - 2016/01/31 Participou como avaliador na comissão de avaliação dos relatórios científicos finais de projetos estratégicos do domínio das Ciências Exatas e da Engenharia da FCT no ano 2015
Evaluator
 Fundação para a Ciência e a Tecnologia, Portugal Fundação para a Ciência e a Tecnologia
2011 - 2011 Revisor para a avaliação de projectos nacionais de FONDECYT (Chile), area de Matemática, 2011
Evaluator
 Comisión Nacional de Investigación Científica y Tecnológica Fondo Nacional de Desarrollo Científico y Tecnológico, Chile Comisión Nacional de Investigación Científica y Tecnológica Fondo Nacional de Desarrollo Científico y Tecnológico

Journal scientific committee

Journal title (ISSN) Publisher
2021/08/01 - Current Journal of Mathematical Sciences (1072-3374) Springer
2018 - Current Advances in Applied Clifford Algebras (0188-7009 ) Springer / Birkhäuser
2013 - Current OpenMathematics (OpenMathematics) deGruyter
2011 - Current Complex Analysis and Operator Theory Springer / Birkhäuser
2011 - Current Applied Mathematics and Computation (0096-3003) Elsevier
Distinctions

Award

1997 Prémio do IPN 1996/1997
Instituto Politécnico Nacional, Mexico
1995 Universitaetspreis (Prémio da Universidade)
Technische Universität Chemnitz, Germany

Other distinction

2015 Cuban Academy of Sciences Award to Excellent Results of Scientific Research
Academia de Ciencias de Cuba, Cuba
2014 Honorary Fellowship of the European Society of Computational Methods in Sciences and Engineering
2014 2014 Researcher of the Month (November) of the University of Aveiro
Universidade de Aveiro, Portugal