Full Professor
University of Aveiro
Research topics:
Clifford analysis and its applications
Approximation of harmonic and monogenic functions
Discrete function theories in higher dimensions
Numerical methods based on discrete function theories
Higher-dimensional analytic signals like monogenic signals
Harmonic Analysis over non-commutative structures
Collaboration:
D. Alpay, Chapman University, Orange, U.S.A.
S. Bernstein, TU Bergakademie Freiberg, Germany
Q. Chen, South China Agricultural University, China
F. Colombo, Politecnico de Milano, Italy
B. Forster-Heinlein, University Passau, Germany
Y. Fu, Hubei University of Technology, China
V. Kisil, University of Leeds, U.K.
D. Legatiuk, University of Erfurt, Germany
L. Li, Hubei University of Technology, China
T. Qian, University of Macau, China
G. Ren, University of Science and Technology of China, Hefei, China
M. Ruzhansky, University of Ghent, Belgium and Queen Mary College London, U.K.
I. Sabadini, Politecnico di Milano, Italy
F. Sommen, University of Ghent, Belgium
G. Teschke, University of Applied Sciences Neubrandenburg, Germany
A. & M. Vajiac, Chapman University, U.S.A.
J. Wirth, University of Stuttgart, Germany
Projects:
DFG-project Quaternionic analysis and partial differential equations, 06/1996 - 09/2000.
Wavelets in Banach Spaces, ICCTI/DAAD, nº 423/DAAD, 01.2002-12.2003.
CRAFT-1999-713 09, MEPROS - A new and Innovative Meteorological Profiling System based on Wavelet Technology for Radar and Acoustic Devices, 11/2002 - 10/2004.
Spherical Radon transform and co-orbit theory, Acções Integradas Luso-Alemãs – Acção No. A-19/08, 01.2008-12.2009
Conformal monogenic signals, Acções Integradas Luso-Alemãs – Acção No. A-48/12, 01.2012-12.2014
Global operator calculi on compact and non-compact Lie groups - Acções Integradas Luso-Alemãs – Acção No. A-42/16, 01.2016-12.2017.
ERASMUS+ Strategic Partnership „Forecast Engineering: From Past Design to Future Decisions“, 2016-1-DE01-KA203-002905, 01.09.2016 - 31.08.2019
ERASMUS+ Strategic Partnership „Partnership for virtual laboratories in civil engineering - PARFORCE“, 2020-1-DE01-KA226-HE-005783, 01.06.2021 - 31.05.2023
Editorial work:
Editor-in-Chief of „Advances in Applied Clifford Algebras“
Associate Editor of „Complex Analysis and Operator Theory“
Associate Editor of „Journal of Mathematical Sciences“
Associate Editor of „Applied Mathematics and Computation“
Member of the Editorial Board of „OpenMathematics“
Associate Editor of „International Journal of Wavelets, Multiresolution and Information Processing“
Organization of Events:
12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA12), University of Science and Technology of China, Hefei (Anhui), August 3 - August 7, 2020
12th ISAAC congress, University of Aveiro, July 28 - August 2, 2019
23rd European Intensive Course on Complex Analysis, its Generalizations and Applications , University of Aveiro, 2018
19th Workshop on Applications and Generalizations of Complex Analysis , University of Aveiro, 2018