Uwe Kähler (9719-A120-F245)

Curriculum Vitae

Uwe Kähler

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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Identificação

Identificação pessoal

Nome completo: Uwe Kähler

Nomes de citação

Kähler, Uwe

Identificadores de autor

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

Domínios de atuação

Ciências Exatas - Matemática

Idiomas

Idioma	Conversação	Leitura	Escrita	Compreensão
Alemão	Utilizador proficiente (C2)	Utilizador proficiente (C2)	Utilizador proficiente (C2)	Utilizador proficiente (C2)
Inglês	Utilizador proficiente (C1)	Utilizador proficiente (C1)	Utilizador proficiente (C1)	Utilizador proficiente (C1)
Russo	Utilizador elementar (A1)	Utilizador independente (B1)	Utilizador independente (B1)	Utilizador elementar (A1)

Formação

	Grau	Classificação
2006 Concluído	Matemática (Título de Agregado) Universidade de Aveiro, Portugal	aprovado
1998/09/16 Concluído	Doutoramento (Doktor (PhD)) Technische Universität Chemnitz, Alemanha "Aplicações da teoria das funções hipercomplexas a soluções de Equações Diferenciais Parciais" (TESE/DISSERTAÇÃO)	Magna cum laude (Aprovado com Louvor e Distinção)
1995/04/30 Concluído	Diplommathematik (Graduado) Technische Universität Chemnitz Fakultät für Mathematik, Alemanha "Sobre algumas generalizações espaciais de um operador integral singular complexo" (TESE/DISSERTAÇÃO)	1.0 "mit Auszeichnung" (em Portugal: 20 valores -

Percurso profissional

Docência no Ensino Superior

	Categoria Profissional Instituição de acolhimento	Empregador
2023/06/01 - Atual	Professor Catedrático (Docente Universitário)	Universidade de Aveiro, Portugal
	Universidade de Aveiro, Portugal
2018/09/01 - 2023/05/31	Professor Associado (Docente Universitário)	Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal

2006/01/17 - 2008/12/01	Professor Auxiliar Convidado (Docente Universitário)	Universidade de Aveiro, Portugal

2001/10/01 - 2006/01/16	Professor Auxiliar Convidado (Docente Universitário)	Universidade de Aveiro, Portugal

1998/05/01 - 1998/09/30	Assistente (Docente Universitário)	Technische Universität Chemnitz Fakultät für Mathematik, Alemanha

Outros

	Categoria Profissional Instituição de acolhimento	Empregador
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, Alemanha

Projetos

Bolsa

	Designação	Financiadores
2017/05 - 2017/07	Bolsa de Licença Sabática SFRH/BSAB/135157/2017 Investigador responsável	Fundação para a Ciencia e a Technologia Concluído
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

Projeto

	Designação	Financiadores
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 Investigador responsável Universidade de Aveiro, Portugal Bauhaus-Universität Weimar, Alemanha Ruhr-Universität Bochum, Alemanha Saints Cyril and Methodius University in Skopje, Macedónia Sveucili¿ta Josipa Jurja Strossmayera u Osijeku, Croácia	Em curso
2020/01/01 - 2023/12/31	Approximation of nonlinear signals by atoms of Blaschke product type and its application in hyperspectra data NSFC-11971178 Investigador South China Agricultural University, China	National Natural Science Foundation of China Em curso
2021/06/01 - 2023/05/31	PARFORCE - Partnership for virtual laboratories in civil engineering 2020-1-DE01-KA226-HE-005783 Investigador Universidade de Aveiro, Portugal Bauhaus-Universität Weimar, Alemanha Ruhr-Universität Bochum, Alemanha Sveucili¿ta Josipa Jurja Strossmayera u Osijeku, Croácia Saints Cyril and Methodius University in Skopje, Macedónia	Deutscher Akademischer Austauschdienst Em curso
2019/01/01 - 2022/12/31	Fault-tolerant wireless structural health monitoring based on frame analysis and deep learning LE3955/4-1 Investigador Technische Universität Hamburg, Alemanha Universität Erfurt, Alemanha Bauhaus-Universität Weimar, Alemanha	Deutsche Forschungsgemeinschaft Em curso
2016/09 - 2019/08	Forecast Engineering: From Past Design to Future Decisions 2016-1-DE01-KA203-002905 Universidade de Aveiro, Portugal Bauhaus-Universität Weimar, Alemanha Univerza v Ljubljani, Eslovénia Sveucili¿ta Josipa Jurja Strossmayera u Osijeku, Croácia Budapesti Muszaki és Gazdaságtudományi Egyetem, Hungria	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, Alemanha	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, Alemanha	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, Alemanha	Ministério da Ciência Tecnologia e Ensino Superior Concluído
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, Alemanha Konrad-Zuse-Zentrum für Informationstechnik Berlin, Alemanha	Ministério da Ciência Tecnologia e Ensino Superior Concluído
1996/06 - 2000/09	Quaternionic analysis and partial differential equations DAAD/CONACYT	Deutscher Akademischer Austauschdienst

Produções

Publicações

Artigo em conferência	Kähler, Uwe. "Finite element exterior calculus with script geometry". 2019. 10.1063/1.5114147 Kähler, U.. "Discrete hypercomplex function theory and its applications". 2015. 10.1063/1.4912316 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 Kähler, Uwe. "Uncertainty Principle for Non-harmonic Quaternion Fourier Transform". Trabalho apresentado em 9th International conference on Clifford Algebras and its Applications in Mathematical Physics, Weimar, 2011. Publicado Kähler, Uwe; Paula Cerejeiras; Swanhild Bernstein; Svend Ebert. "Non-zonal wavelets on Sn". Trabalho apresentado em 18th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar, 2009. Publicado
Artigo em revista	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. Publicado • 10.1007/s00020-024-02779-2 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 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. Publicado • 10.1090/proc/16720 Cerejeiras, P.; Colombo, F.; Debernardi Pinos, A.; Kähler, Uwe; Sabadini, I.. Autor correspondente: 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. Publicado • 10.1016/j.aim.2024.109558 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. Publicado • 10.1007/s11785-023-01455-4 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. Publicado • 10.1007/s11785-023-01453-6 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. Publicado • 10.1016/j.jmaa.2023.127444 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. Publicado • 10.1007/s00041-023-10015-5 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. Publicado • 10.1063/5.0080723 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 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 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 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 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. Publicado • 10.1002/mma.7881 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. Publicado • 10.1002/mma.7881 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. Publicado • 10.1007/s11854-021-0155-6 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 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 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 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 Kähler, Uwe. "Methoden zur Identifikation von Zugvorbeifahrten aus kontinuierlichen Messdaten". Bautechnik (2018): http://dx.doi.org/10.1002/bate.201700115. 10.1002/bate.201700115 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 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 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. Publicado 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 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 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 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 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 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 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 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 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 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 Kähler, Uwe. "On the $¿$-operator in Clifford analysis.". J. Math. Anal. Appl. (2016): 10.1016/j.jmaa.2015.09.038 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 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 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 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 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 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 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 Kähler, Uwe. "Generating functions for spherical harmonics and spherical monogenics.". Adv. Appl. Clifford Algebr. (2014): 10.1007/s00006-014-0495-8 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 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 Kähler, Uwe. "Discrete Hardy spaces.". J. Fourier Anal. Appl. (2014): 10.1007/s00041-014-9331-8 Kähler, Uwe. "Lax pairs for 3D spatial problems based on the Dirac operator.". Complex Var. Elliptic Equ. (2014): 10.1080/17476933.2013.804516 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 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 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 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 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 Kähler, Uwe. "The Balian-Low theorem for the windowed quaternionic Fourier transform.". Adv. Appl. Clifford Algebr. (2012): 10.1007/s00006-012-0324-x Kähler, Uwe. "Riemann boundary value problems on the sphere in Clifford analysis.". Adv. Appl. Clifford Algebr. (2012): 10.1007/s00006-011-0308-2 Kähler, Uwe. "Hardy-Littlewood inequalities for fractional derivatives of invariant harmonic functions.". Complex Anal. Oper. Theory (2012): 10.1007/s11785-010-0123-0 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 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 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 Kähler, Uwe. "Chirp transforms and chirp series.". J. Math. Anal. Appl. (2011): 10.1016/j.jmaa.2010.07.037 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. Kähler, Uwe. "A necessary and sufficient condition for a Bedrosian identity.". Math. Methods Appl. Sci. (2010): 10.1002/mma.1221 Kähler, Uwe. "Wavelets invariant under finite reflection groups.". Math. Methods Appl. Sci. (2010): 10.1002/mma.1220 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 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 Kähler, Uwe. "Almansi decomposition for poly-ultrahyperbolic functions.". Acta Math. Sin., Engl. Ser. (2009): 10.1007/s10114-009-7023-0 Kähler, Uwe. "Fischer decomposition and Cauchy kernel for Dunkl-Dirac operators.". Adv. Appl. Clifford Algebr. (2009): 10.1007/s00006-009-0151-x Kähler, Uwe. "On a factorization of the Schrödinger and Klein-Gordon operators.". Math. Methods Appl. Sci. (2008): 10.1002/mma.999 Kähler, Uwe. "Fischer decomposition for difference Dirac operators.". Adv. Appl. Clifford Algebr. (2007): 10.1007/s00006-006-0016-5 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. Kähler, Uwe. "Discrete Dirac operators in Clifford analysis.". Adv. Appl. Clifford Algebr. (2007): 10.1007/s00006-007-0041-z Kähler, Uwe. "Difference potentials for the Navier--Stokes equations in unbounded domains.". J. Difference Equ. Appl. (2006): 10.1080/10236190600637965 Kähler, Uwe. "Clifford analysis for finite reflection groups.". Complex Var. Elliptic Equ. (2006): 10.1080/17476930500482499 Kähler, Uwe. "Almansi decompositions for polyharmonic, polyheat, and polywave functions.". Stud. Math. (2006): 10.4064/sm172-1-5 Kähler, Uwe. "Monogenic frames for an integral transform on the unit sphere.". Complex Var. Elliptic Equ. (2006): 10.1080/02781070500319672 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. 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. 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 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 Kähler, Uwe. "Boundary behavior of Gleason's problem in hyperbolic harmonic Bergman spaces.". Sci. China, Ser. A (2005): 10.1360/03ys0176 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 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 Kähler, Uwe. "Weighted harmonic Bloch spaces and Gleason's problem.". Complex Variables, Theory Appl. (2003): 10.1080/0278107031000073605 Kähler, Uwe. "Clifford analysis on projective hyperbolic space. II.". Math. Methods Appl. Sci. (2002): 10.1002/mma.382 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 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. Kähler, Uwe. "Clifford analysis and the Navier-Stokes equations over unbounded domains.". Adv. Appl. Clifford Algebr. (2001): 10.1007/BF03042225 Kähler, Uwe. "Quaternionic Beltrami-type equations and homeomorphic solutions.". Adv. Appl. Clifford Algebr. (2001): 10.1007/BF03219130 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 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. Kähler, Uwe. "On the $¿$-operator in hyperholomorphic function theory.". Adv. Appl. Clifford Algebr. (1999): 10.1007/BF03041935 Kähler, Uwe. "Clifford analysis over unbounded domains.". Adv. Appl. Math. (1997): 10.1006/aama.1997.0541 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 Kähler, Uwe. "On a spatial generalization of the complex $¿$-operator.". Z. Anal. Anwend. (1996): 10.4171/ZAA/700
Capítulo de livro	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. Publicado • 10.1007/978-3-031-56732-2_7 Kähler, Uwe. "Boundary Values of Discrete Monogenic Functions over Bounded Domains in $$ \mathbb{R}^3 $$". 2019. 10.1007/978-3-030-18484-1_5 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 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 Kähler, Uwe. "Discrete Clifford analysis.". 2015. 10.1007/978-3-0348-0667-1_18 Kähler, Uwe. "Monogenic signal theory.". 2015. 10.1007/978-3-0348-0667-1_14 Kähler, Uwe. "Fractional Clifford analysis.". 2014. 10.1007/978-3-319-08771-9_13 Kähler, Uwe. "The Balian-Low theorem for the windowed Clifford-Fourier transform.". 2013. 10.1007/978-3-0348-0603-9_15 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 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 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
Livro	Kähler, Uwe; Reissig, Michael; Sabadini, Irene; Vindas, Jasson. Analysis, Applications, and Computations. Suiça: Springer International Publishing. 2023. Publicado • 10.1007/978-3-031-36375-7 • Editor Cerejeiras, P.; Fonseca, A.; Kähler, U.; Vieira, N.. Fischer decomposition in generalized fractional clifford analysis. 2017. 10.1007/978-3-319-62362-7_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 Bernstein, S.; Kähler, U.; Sabadini, I.; Sommen, F.. Preface. 2014. 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

Atividades

Apresentação oral de trabalho

	Título da apresentação	Nome do evento Anfitrião (Local do evento)
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., Estados Unidos)
2024/01/03	Triangular decompositions of quaternionic non-self-adjoint operators	Joint Mathematics Meeting 2024 American Mathematical Society (San Francisco, Estados Unidos)
2023/09/27	Fock spaces over ternary Grassmann algebras and its applications to stochastic processes in hypersymmetry	DMV Jahrestagung 2023 TU Ilmenau (Ilmenau, Alemanha)
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, Marrocos)
2023/04/24	White noise space analysis over non-commutative structures	International Conference on Mathematical Methods in Physics (Marrakesh, Marrocos)
2022/11/16	Quaternionic non-self adjoint operators and their spectral theory	Advances in Operator Theory with Applications to Mathematical Physics Chapman University (Orange, Estados Unidos)
2022/10/24	Ruzhansky-Turunen-Wirth calculus in the case of Spin groups	Ghent Geometric Analysis Seminar Ghent University (Ghent, Bélgica)
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, Polónia)
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., Estados Unidos)
2021/08/11	Quaternionic non-self adjoint operators and their spectral theory	International Workshop on Operator Theory and Applications (IWOTA 2021) Chapman University, (Orange, Estados Unidos)
2020/09/03	Generalized white noise analysis and stochastic distributions	GF2020 International Conference on Generalized Functions Ghent University (Ghent, Bélgica)
2020/08/19	Quaternionic Volterra operators and triangular representations	International Conference on Noncommutative Analysis Ghent University (Ghent, Bélgica)
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, Bélgica)
2017/07/19	Higher-dimensional discrete function theory and its applications	Workshop "Funktionentheorie und Anwendungen in der Physik", Universität Passau (Passau, Alemanha)
2017/07/05	Wavelet and Gabor frames for diffraction tomography	8th International conference on MATHEMATICAL MODELING North-Eastern Federal University (Yakutsk, Rússia)
2016/06/22	Discrete Monogenic Functions in Image Processing and Mathematical Optics	Mathematical Optics, Image Modeling and Algorithms - MOIMA 2016 Volkswagen Stiftung (Hannover, Alemanha)
2016/04/12	Wavelet and Gabor frames on the three-sphere	Noncommutative Analysis and Partial Differential Equations Imperial College London (London, Reino Unido)
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, Estados Unidos)
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, Estados Unidos)
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, Grécia)
2014/08/06	Fractional Clifford Analysis	10th International Conference on Clifford Algebras and their Applications University of Tartu (Tartu, Estónia)
2014/06/25	Discrete Hardy spaces	Seminar Bauhaus-Universität Weimar (Weimar, Alemanha)
2014/06/24	Non-commutative harmonic analysis for fractional Dirac operators	International conference on Noncommutative Analysis Operator Theory and Applications Politecnico di Milano (Milano, Itália)
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, Reino Unido)
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, República Checa)
2013/07/16	Funktionentheorien über nichtkommutative Strukturen via Weyl-Relationen	Oberseminar: Analysis partieller Differentialgleichungen Ludwig-Maximilian Universität München (München, Alemanha)
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, Reino Unido)
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, Estados Unidos)
2012/03/29	Spherical frames and the reconstruction of crystallographic structures	London Analysis and Probability Seminar Imperial College London (London, Reino Unido)
2012/03/10	Gabor Frames in Dirac analysis	2012 AMS Spring Southeastern Section Meeting, Special Session on Dirac analysis University of South Florida (Tampa, Estados Unidos)
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, Alemanha)
2011/11/24	Discrete Clifford analysis	Colloquium of the Institut of Appl. Math. I, Faculty of Math. and Inf. TU Bergakademie Freiberg (Freiberg, Alemanha)
2011/08/23	Discrete Clifford analysis	Special Session „Clifford and quaternionic analysis“, 8th International Congress ISAAC 2011 Peoples Friendship University (Moscow, Rússia)
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, Itália)
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, Alemanha)
2008/04/02	Harmonic analysis for space groups	GAMM conference 2008 Universität Bremen (Bremen, Alemanha)
2007/09/04	Clifford analysis and analytic signals	Workshop on Clifford Analysis and Applications - WCAA 2007 Ghent University (Ghent, Bélgica)
2007/08/08	Monogenic signals – Sampling and Interpolation	secção “Quaternionic and Clifford Analysis”, 6nd ISAAC Congress Middle East Technical University (Ankara, Turquia)
2007/07/19	About the mathematical foundation of the Huang-Hilbert transform	ICIAM 2007 ETH Zurich (Zurich, Suiça)
2007/05/04	Monogenic signals over the unit ball	International conference on Applied Analysis CINVESTAV Queretáro (Queretáro, México)
2006/06/15	Wavelet Frames on the Sphere	International conference on “Function Theories in Higher Dimensions” Tampere University of Technology (Tampere, Finlândia)
2006/03/30	Frames for the continuous spherical wavelet transform	GAMM conference 2006 Technische Universität Berlin (Berlin, Alemanha)
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, Finlândia)
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, França)
2005/05/21	Clifford analysis and parabolic Dirac operators	Tag der Funktionentheorie Technische Universität Bergakademie Freiberg (Freiberg, Alemanha)
2005/04/01	Parabolic Dirac operators and the Navier-Stokes equations over time-varying domain	GAMM conference 2005 University of Luxemburg (Luxemburg, Luxemburgo)
2004/08/25	Wavelets and Clifford analysis	International conference on Applied Mathematics - ICAM 2004 University of Hanoi (Hanoi, Vietname)
2004/03/23	Clifford analysis and the Navier-Stokes equations over unbounded domains	GAMM conference 2004 Universität Dresden (Dresden, Alemanha)
2003/12/05	Interpolating wavelets and non-linear diffusion equations	Workshop on Clifford analysis and its applications Bauhaus-Universität Weimar (Weimar, Alemanha)
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, Alemanha)
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, Estados Unidos)
2001/08/23	Navier-Stokes equations and Besov spaces in Clifford analysis	3rd ISAAC Congress Freie Universität Berlin (Berlin, Alemanha)
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, República Checa)
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, Alemanha)
1999/08/17	The Navier-Stokes equations over unbounded domains	2nd ISAAC Congress Fukuoka University (Fukuoka, Japão)
1999/07/03	On quaternionic Beltrami equations	5th International Conference on Clifford Algebras and their Applications in Mathematical Physics Ixtapa - Zihuatanejo (Ixtapa - Zihuatanejo, México)
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, Alemanha)
1998/10/04	Clifford analysis and the Navier-Stokes equations in unbounded domains	International Conference on Dirac Operators and Applications Cetraro (Cetraro , Itália)
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., México)
1997/06/12	Potential theory and quaternionic function theory	Seminário ESFM del IPN (México, D.F., México)
1997/06/05	Elliptic boundary value problems in bounded and unbounded domains	1st ISAAC congress, Section “Analysis of Dirac-operators” University of Delaware (Newark, Estados Unidos)
1996/09/18	On spatial generalizations of a complex singular integral operator	Students conference of the German Mathematical Society Friedrich-Schiller-Universität Jena (Jena, Alemanha)
1996/08/17	On the application of hypercomplex P-operators to the solution of Beltrami systems	VI. International Colloquium on Numerical Analysis (Plovdiv, Bulgária)
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, Alemanha)
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, Alemanha)

Orientação

	Título / Tema Papel desempenhado	Curso (Tipo) Instituição / Organização
2021/10/01 - 2025	Modern Methods in 3D Electrical Impedance Tomography Coorientador	Matemática (Doutoramento)
2019/10/01 - 2023	On the uniqueness of the Calderón problem and its application in Electrical Impedance Tomography Orientador	Matemática (Doutoramento)
2020/07/20 - 2021/02/25	Discontinuous Galerkin method with adaptive mesh refinement for time-domain electromagnetic problems Coorientador	Physics (Mestrado)
2015/10/01 - 2019/11/15	Curvature Detection by Integral Transforms Coorientador	Universität Passau, Alemanha
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 Orientador de Ivan Mira Pombo	Mestrado em Matemática (Mestrado) Universidade de Aveiro, Portugal
2011/10/09 - 2015/10/09	Digital Curvature Estimation: An Operator Theoretic Approach Coorientador
2011/09/01 - 2015/09/29	Compressed Sensing in Clifford Analysis Orientador de Narciso Resende Gomes	Programa doutoral em Matemática aplicada (Doutoramento)
2009/10/01 - 2010/10/05	Modelação e Simulação Numérica de Problemas Electrostáticos e Magnetostáticos numa Superfície ou num Corpo Orientador	Matemática aplicada em Engenharias (Mestrado) Universidade de Cabo Verde, Cabo Verde Universidade de Aveiro, Portugal
2005/09/01 - 2009/03/26	Discrete Clifford Analysis Orientador
2007/10/01 - 2008/07/16	Amostragem uniforme e não-uniforme Orientador	Mestrado em Matemática (Mestrado) Universidade de Aveiro, Portugal
2007/10/01 - 2008/05/01	Representações esparsas e algoritmos gananciosos Orientador	Mestrado em Matemática (Mestrado) Universidade de Aveiro, Portugal
2004/09/01 - 2008/01/04	Continuous Wavelet transforms on the unit sphere Orientador

Organização de evento

	Nome do evento Tipo de evento (Tipo de participação)	Instituição / Organização
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) Conferência (Coorganizador)
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) Conferência (Coorganizador)	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) Congresso (Membro da Comissão Organizadora)	Universidade de Aveiro, Portugal

Júri de grau académico

	Tema Tipo de participação	Nome do candidato (Tipo de grau) Instituição / Organização
2023/10/27	Hypercomplex Algebra and Sparse Optimisation in Multiband Image Processing Arguente principal	Srdan Lazendic (Doutoramento) Universiteit Gent, Bélgica
2023/05/26	Théorémes de Boas pour certaines Transformations Intégrales Arguente	El Mehdi Berkak (Doutoramento) Université Hassan II de Casablanca, Marrocos
2023/05/25	Time-frequency analysis of some Differential Operators Arguente principal	Abdelaâli Dades (Doutoramento) Université Hassan II de Casablanca, Marrocos
2022/03/25	Some results for generalized Cauchy-Riemann differential equation systems theory Arguente principal	Baruch Schneider (Agregação) Ostravska univerzita, República Checa
2022/02/24	Optimisation in the Construction of Multidimensional Wavelets Arguente principal	Neil Kristofer D. Dizon (Doutoramento) The University of Newcastle, Austrália
2021/07/02	Radon type transforms in Clifford analysis Arguente principal	Ren Hu (Doutoramento) Universiteit Gent, Bélgica
2013/06/28	Adaptive Signal Decomposition of Hardy Space Arguente principal	Li Shuang (Doutoramento) University of Macau, Macau
2013/05/21	Discrete Clifford analysis: function theory and integral transforms Arguente principal	Hilde de Ritter (Doutoramento) Universiteit Gent, Bélgica
2012/12/19	Boundary Value Problems in Orthogonal and Hermitian Clifford Analysis Arguente principal	Ricardo Abreu Blaya (Agregação) Universidad de Holguín Oscar Lucero Moya, Cuba
2012/12/11	Monogenic Wavelet Frames for Image Analysis Arguente principal	Stefan Held (Doutoramento) Technische Universität München, Alemanha
2011/11/25	Wavelets on Lie groups and homogeneous spaces Arguente principal	Svend Ebert (Doutoramento) Technische Universität Bergakademie Freiberg, Alemanha

Arbitragem científica em conferência

	Nome da conferência	Local da conferência
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

Arbitragem científica em revista

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

Comissão de avaliação

	Descrição da atividade Tipo de assessoria	Instituição / Organização	Entidade financiadora
2022/04/01 - 2022/07/01	Avaliador de projectos nacionais de Czech Science Foundation (GACR, República Checa) no ano 2022 Avaliador		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 Avaliador	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 Avaliador	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

Curso / Disciplina lecionado

	Disciplina	Curso (Tipo)	Instituição / Organização
2023/08/17 - 2023/08/21	Reproducing kernels in hypercomplex analysis	PhD Summer School Modern Problems in PDEs and Applications (Doktor (PhD))	Universiteit Gent, Bélgica

Membro de associação

	Nome da associação	Tipo de participação
2009/09/01 - Atual	International Society for Analysis, its Applications and Computatio (ISAAC)
1998 - Atual	Gesellschaft für angewandte Mathematik und Mechanik	Member
1996/09/01 - Atual	Deutsche Mathematiker Vereinigung (DMV)	Member

Membro de comissão

	Descrição da atividade Tipo de participação	Instituição / Organização
2021/08/06 - Atual	President of the International Society for Analysis, its Applications, and Computation Presidente / Vice-presidente	International Society for Analysis, its Applications and Computation, Suécia
2019/08/02 - 2021/08/06	Vice-President of the International Society for Analysis, its Applications and Computation (ISAAC) Presidente / Vice-presidente	International Society for Analysis, its Applications and Computation, Suécia

Distinções

Prémio

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

Outra distinção

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