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Paula Cerejeiras is an Associate Professor in the Mathematics Department of the University of Aveiro and a member of CIDMA – Center for Research & Development in Mathematics and Applications. Her research interests are in Clifford analysis, Radon transforms, integral geometry, harmonic analysis, and inverse problems. Her current interests include group representation theory and its connections with wavelets; the development of discrete function theories in relation to the Witt basis and parabolic Dirac operators, as well as the associated inverse problems; and Reproducing Kernel Hilbert and Krein Spaces. Over the past five years, her interests have expanded to include stochastic equations and their connections to quantum theory. She has more than 80 publications, among them papers in such journals as Applied and Computational Harmonic Analysis and Communications in Pure and Applied Analysis. She has, up to now, supervised 5 PhD students and has coordinated and participated in several international projects. She is also an Associate Editor for several international journals from editorial houses like Springer and World Scientific. Currently, she is a member of the FWO expert panel (Belgium).
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Identification

Personal identification

Full name
Paula Cerejeiras

Citation names

  • Cerejeiras, Paula

Author identifiers

Ciência ID
1C1F-9AC1-4CC1
ORCID iD
0000-0001-7667-4595
Scopus Author Id
8845778900

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
French Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Education
Degree Classification
1997
Concluded
 Doutoramento (Doutoramento)
Universidade de Aveiro, Portugal
"O Operador de Dirac em Espaços Hiperbólicos" (THESIS/DISSERTATION)
 Aprovada [Dec. Lei nº 216/92 de 13 de Outubro]
1991
Concluded
 Provas Aptidão Pedagógica Capacidade Científica (Mestrado)
Universidade de Aveiro, Portugal
 Muito Bom
1986
Concluded
 Licenciatura em Matemática (Licenciatura)
Universidade de Aveiro, Portugal
 16
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2003/04/01 - Current Associate Professor (University Teacher) Universidade de Aveiro, Portugal
1997/10/16 - 2003/03/31 Assistant Professor (University Teacher) Universidade de Aveiro, Portugal
1991/03/22 - 1997/10/15 Assistant (University Teacher) Universidade de Aveiro, Portugal
1986/10/24 - 1991/03/21 Trainee Assistant (University Teacher) Universidade de Aveiro, Portugal
Projects

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
Researcher
Universidade de Aveiro, Portugal

Bauhaus-Universität Weimar, Germany

Saints Cyril and Methodius University in Skopje, Macedonia

Sveucili¿ta Josipa Jurja Strossmayera u Osijeku, Croatia

Ruhr-Universität Bochum, Germany
Ongoing
2020/01/01 - 2023/12/31 Approximation of nonlinear signals by atoms of Blaschke product type and its application in hyperspectra data
11971178
Researcher
Universidade de Aveiro, Portugal

South China Agricultural University, China
National Natural Science Foundation of China
Ongoing
2020/01/01 - 2023/12/31 Fault-tolerant wireless structural health monitoring based on frame analysis and deep learning
LE 3955/4-1
Researcher
Universidade de Aveiro, Portugal

Bauhaus-Universität Weimar, Germany

Technische Universität Hamburg, Germany

Universität Erfurt, Germany
Ongoing
2021/06/01 - 2023/05/31 PARFORCE - Partnership for virtual laboratories in civil engineering, ERASMUS+ Strategic partnership
2020-1-DE01-KA226-HE-005783
Invited Scientist Fellow
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
Concluded
2016/09/01 - 2019/08/31 Forecast Engineering: from Past Designs to Future Decision Application
2016-1-DE01-KA203-002905
Researcher
Universidade de Aveiro, Portugal

Bauhaus-Universität Weimar, Germany

Budapesti Muszaki és Gazdaságtudományi Egyetem, Hungary

Univerza v Ljubljani, Slovenia

Sveucili¿ta Josipa Jurja Strossmayera u Osijeku, Croatia
Concluded
2016/01/01 - 2017/12/31 New Function Theoretical Methods in Computational Electrodynamics
A-15/17
Principal investigator
Universidade de Aveiro, Portugal

Universität Erfurt, Germany

Bauhaus-Universität Weimar, Germany
Concluded
2016/01/01 - 2017/12/31 Global operator calculi on compact and non-compact Lie groups
A-42/16
Researcher
Universidade de Aveiro, Portugal

Universität Stuttgart, Germany
Concluded
2014/01/01 - 2014/12/31 Konforme monogene Frames zur Bildverarbeitung
BayFor
Researcher
Universidade de Aveiro, Portugal

Universität Passau, Germany
Concluded
2012/01/01 - 2014/12/31 Conformal monogenic frames for image analysis,
A-48/12
Researcher
Universidade de Aveiro, Portugal

Technische Universität München, Germany
Concluded
2008/01/01 - 2009/12/31 Spherical Radon transform and Co-orbit theory
423/DAAD
Researcher
Universidade de Aveiro, Portugal

Hochschule Neubrandenburg, Germany

Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany
Concluded
2002/11/01 - 2004/10/31 MEPROS - A new and Innovative Meteorological Profiling System based on Wavelet Technology for Radar and Acoustic Devices
CRAFT-1999-713 09
Principal investigator
Universidade de Aveiro, Portugal

Universität Bremen, Germany
European Commission
Concluded
2002/01/01 - 2003/12/31 Onduletas em Espaços de Banach
423/DAAD
Principal investigator
Universidade de Aveiro, Portugal

Universidade do Minho, Portugal

Universität Bremen, Germany
Concluded
2000/01/01 - 2000/12/31 Equações com Derivadas Parciais – métodos da Teoria de Funções em Dimensões superiores
423/DAAD
Researcher
Universidade de Aveiro, Portugal

Universidade do Minho, Portugal

Rheinisch Westfälische Technische Hochschule Aachen, Germany

Technische Universität Bergakademie Freiberg, Germany

Bauhaus-Universität Weimar, Germany
Concluded
Outputs

Publications

Book
  1. Cerejeiras, Paula; Reissig, Michael; Sabadini, Irene; Toft, Joachim. Current trends in analysis, its applications and computation: proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019. Birkhäuser. 2022.
    10.1007/978-3-030-87502-2
  2. Cerejeiras, Paula; Reissig, Michael. Mathematical analysis, its applications and computation. Springer. 2022.
    10.1007/978-3-030-97127-4
  3. Cerejeiras, P.; Vieira, N.; Cerejeiras, Paula; Vieira, Nelson Felipe Loureiro. Clifford–hermite polynomials in fractional clifford analysis. Birkhäuser. 2016.
    10.1007/978-3-319-29116-1_5
  4. Cerejeiras, P.; Kähler, U.. Monogenic signal theory. 2015.
    10.1007/978-3-0348-0667-1_14
  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
  6. Fu, Y.; Kähler, U.; Cerejeiras, P.. The Balian-Low theorem for the windowed Clifford-Fourier transform. 2013.
    10.1007/978-3-0348-0603-9
Book chapter
  1. Cerejeiras, Paula. "Generalised Fock Spaces". In Women in Analysis and PDE, 111-118. Springer Nature Switzerland, 2024.
    10.1007/978-3-031-57005-6_12
  2. Cerejeiras, Paula. "Introduction to Hypercomplex Analysis". In Modern Problems in PDEs and Applications, 19-27. Springer Nature Switzerland, 2024.
    10.1007/978-3-031-56732-2_3
  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; Legatiuk, Dmitrii. "Finite element exterior calculus with script geometry". AIP Publishing, 2019.
    10.1063/1.5114147
  5. Cerejeiras, Paula; Kähler, Uwe; Legatiuk, Anastasiia; Legatiuk, Dmitrii. "Boundary values of discrete monogenic functions over bounded domains in $$ \mathbb{R}^3 $$". Birkhäuser, 2019.
    10.1007/978-3-030-18484-1_5
  6. Cerejeiras, P.; Kähler, U.; Ryan, J.. "From hermitean clifford analysis to subelliptic dirac operators on odd dimensional spheres and other CR manifolds". 39-51. 2018.
    10.1007/978-3-030-00049-3_3
  7. Cerejeiras, P.; Kähler, U.; Kraußhar, R.S.. "Some applications of parabolic dirac operators to the instationary navier-stokes problem on conformally flat cylinders and tori in R3". 19-37. 2018.
    10.1007/978-3-030-00049-3_2
  8. Cerejeiras, Paula; Fonseca, Aurineide; Kähler, Uwe; Vieira, Nelson. "Fischer decomposition in generalized fractional Clifford Analysis". Birkhäuser, 2017.
    10.1007/978-3-319-62362-7_3
  9. Cerejeiras, Paula; Qiuhui Chen; Gomes, Narciso; Hartmann, Stefan. "Compressed sensing with nonlinear Fourier atoms". Springer International Publishing, 2016.
    10.1007/978-3-319-42529-0_4
  10. 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
  11. Cerejeiras, P.; Ferreira, M.; Kähler, U.. "Clifford analysis and the continuous spherical wavelet transform". 173-184. 2007.
    10.1007/978-3-7643-7778-6_15
Conference paper
  1. Cerejeiras, P.; Nolder, C.A.; Ryan, J.; Vanegas Espinoza, C.J.. "Preface". 2018.
Journal article
  1. Cerejeiras, Paula; Kähler, Uwe; Legatiuk, Dmitrii. "Script Geometry: Categorical Perspective and a Connection to Exterior Calculus FEM". Complex Analysis and Operator Theory 19 4 (2025): https://doi.org/10.1007/s11785-025-01708-4.
    10.1007/s11785-025-01708-4
  2. 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
  3. Alpay, Daniel; Cerejeiras, Paula; Kaehler, Uwe; Schneider, Baruch. "Generalized q-Fock spaces and structural identities". Proceedings of the American Mathematical Society (2024): https://doi.org/10.1090/proc/16720.
    10.1090/proc/16720
  4. Cerejeiras, P.; Colombo, F.; Debernardi Pinos, A.; Kähler, U.; Sabadini, I.. "Nuclearity and Grothendieck-Lidskii formula for quaternionic operators". Advances in Mathematics 442 (2024): 109558. https://doi.org/10.1016/j.aim.2024.109558.
    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.
    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): http://dx.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. P. Cerejeiras; M. Ferreira; U. Kähler; J. Wirth. "Global Operator Calculus on Spin Groups". Journal of Fourier Analysis and Applications (2023): https://doi.org/10.1007/s00041-023-10015-5.
    10.1007/s00041-023-10015-5
  9. Daniel Alpay; Paula Cerejeiras; Uwe Kähler; Trevor Kling. "Commutators on Fock spaces". Journal of Mathematical Physics (2023): https://doi.org/10.1063/5.0080723.
    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.
    10.1002/mma.7881
  15. Cerejeiras, P.; Vajiac, M.. "Ternary Clifford Algebras". Advances in Applied Clifford Algebras 31 1 (2021): http://dx.doi.org/10.1007/s00006-020-01114-3.
    10.1007/s00006-020-01114-3
  16. Alpay, Daniel; Cerejeiras, Paula; Kähler, Uwe. "Krein reproducing kernel modules in Clifford analysis". (2021): http://hdl.handle.net/10773/31930.
    10.1007/s11854-021-0155-6
  17. Cerejeiras, Paula; Kähler, Uwe; Legatiuk, Anastasiia; Legatiuk, Dmitrii. "Discrete Hardy spaces for bounded domains in Rn". (2021): http://hdl.handle.net/10773/29892.
    10.1007/s11785-020-01047-6
  18. Cerejeiras, Paula; Colombo, Fabrizio; Kahler, Uwe; Sabadini, Irene. "Perturbation of normal quaternionic operators". (2019): http://hdl.handle.net/10773/26231.
    10.1090/tran/7749
  19. Paula Cerejeiras; Yingxiong Fu; Narciso Gomes. "Bicomplex signals with sparsity constraints". Mathematical Methods in the Applied Sciences 41 13 (2018): 5140-5158. https://doi.org/10.1002/mma.5059.
    10.1002/mma.5059
  20. Cerejeiras, Paula; Hartmann, Stefan; Orelma, Heikki; Paula Cerejeiras; Stefan Hartmann; Heikki Orelma. "Structural results for quaternionic Gabor frames". Advances in Applied Clifford Algebras 28 5 (2018): http://hdl.handle.net/10773/24151.
    https://doi.org/10.1007/s00006-018-0901-8
  21. Cerejeiras, Paula; Kahler, Uwe; Legatiuk, Dmitrii. "Interpolation of monogenic functions by using reproducing kernel Hilbert spaces". (2018): http://hdl.handle.net/10773/24726.
    10.1002/mma.5271
  22. Alpay, Daniel; Cerejeiras, Paula; Kähler, Uwe. "Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics". (2017): http://hdl.handle.net/10773/18243.
    10.1090/proc/13613
  23. Cerejeiras, P.; Fonseca, A.; Vajiac, M.; Vieira, N.. "Fischer Decomposition in Generalized Fractional Ternary Clifford Analysis". Complex Analysis and Operator Theory 11 5 (2017): 1077-1093. http://www.scopus.com/inward/record.url?eid=2-s2.0-85009918589&partnerID=MN8TOARS.
    10.1007/s11785-016-0631-7
  24. Bernstein, S.; Cerejeiras, P.. "Editorial". Complex Variables and Elliptic Equations 62 9 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-84996554587&partnerID=MN8TOARS.
    10.1080/17476933.2016.1250391
  25. 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
  26. 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
  27. Cerejeiras, Paula; Forster, Brigitte; Nagler, Johannes. "Lower bounds for the approximation with variation-diminishing splines". (2016): http://hdl.handle.net/10773/15152.
    10.1016/j.jco.2015.08.002
  28. Cerejeiras, Paula; Kähler, Uwe; Ku, Min. "Discrete Hilbert boundary value problems on half lattices". (2015): http://hdl.handle.net/10773/15041.
    10.1080/10236198.2015.1071804
  29. 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
  30. Cerejeiras, P.; Kähler, U.; Ku, M.; Sommen, F.. "Discrete Hardy Spaces". Journal of Fourier Analysis and Applications 20 4 (2014): 715-750. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904670974&partnerID=MN8TOARS.
    10.1007/s00041-014-9331-8
  31. Cerejeiras, P.; Kähler, U.; Rodrigues, M.M.; Vieira, N.. "Hodge type decomposition in variable exponent spaces for the time-dependent operators: The Schrödinger case". Communications on Pure and Applied Analysis 13 6 (2014): 2253-2272. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904552218&partnerID=MN8TOARS.
    10.3934/cpaa.2014.13.2253
  32. Bory Reyes, J.; Cerejeiras, P.; Guzmán Adán, A.; Kähler, U.. "A Short Note on the Local Solvability of the Quaternionic Beltrami Equation". Advances in Applied Clifford Algebras 24 4 (2014): 945-953. http://www.scopus.com/inward/record.url?eid=2-s2.0-85028119098&partnerID=MN8TOARS.
    10.1007/s00006-014-0494-9
  33. Bernstein, S.; Cerejeiras, P.; Kähler, U.. "Lax pairs for 3D spatial problems based on the Dirac operator". Complex Variables and Elliptic Equations 59 7 (2014): 1016-1030. http://www.scopus.com/inward/record.url?eid=2-s2.0-84898630574&partnerID=MN8TOARS.
    10.1080/17476933.2013.804516
  34. Cerejeiras, P.; Kähler, U.; Lávicka, R.. "Generating Functions for Spherical Harmonics and Spherical Monogenics". Advances in Applied Clifford Algebras 24 4 (2014): 995-1004. http://www.scopus.com/inward/record.url?eid=2-s2.0-85027955170&partnerID=MN8TOARS.
    10.1007/s00006-014-0495-8
  35. Cerejeiras, P.; Kähler, U.; Ku, M.. "On the Riemann Boundary Value Problem for Null Solutions to Iterated Generalized Cauchy-Riemann Operator in Clifford Analysis". Results in Mathematics 63 3-4 (2013): 1375-1394. http://www.scopus.com/inward/record.url?eid=2-s2.0-84878402179&partnerID=MN8TOARS.
    10.1007/s00025-012-0274-6
  36. 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
  37. 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
  38. 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
  39. Fu, Y.; Kähler, U.; Cerejeiras, P.. "The Balian-Low Theorem for the Windowed Quaternionic Fourier Transform". Advances in Applied Clifford Algebras 22 4 (2012): 1025-1040. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868591736&partnerID=MN8TOARS.
    10.1007/s00006-012-0324-x
  40. 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
  41. Cerejeiras, Paula; Ferreira, Milton; Kaehler, Uwe; Teschke, Gerd. "Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles". (2011): http://hdl.handle.net/10400.8/3815.
    10.1016/j.acha.2011.01.005
  42. Ren, G.; Chen, Q.; Cerejeiras, P.; Kaehle, U.. "Chirp transforms and Chirp series". Journal of Mathematical Analysis and Applications 373 2 (2011): 356-369. http://www.scopus.com/inward/record.url?eid=2-s2.0-77956610847&partnerID=MN8TOARS.
    10.1016/j.jmaa.2010.07.037
  43. Cerejeiras, P.; Vieira, N.. "Fundamental solutions of the instationary Schrödinger difference operator". Journal of Difference Equations and Applications 16 11 (2010): 1349-1365. http://www.scopus.com/inward/record.url?eid=2-s2.0-78149398315&partnerID=MN8TOARS.
    10.1080/10236190902813983
  44. Bernardes, G.; Bernstein, S.; Cerejeiras, P.; Kähler, U.. "Wavelets invariant under finite reflection groups". Mathematical Methods in the Applied Sciences 33 4 (2010): 473-484. http://www.scopus.com/inward/record.url?eid=2-s2.0-77249152268&partnerID=MN8TOARS.
    10.1002/mma.1220
  45. Cerejeiras, P.; Chen, Q.; Kähler, U.. "A necessary and sufficient condition for a Bedrosian identity". Mathematical Methods in the Applied Sciences 33 4 (2010): 493-500. http://www.scopus.com/inward/record.url?eid=2-s2.0-77249088223&partnerID=MN8TOARS.
    10.1002/mma.1221
  46. Fei, M.; Cerejeiras, P.; Kähler, U.. "Spherical Dunkl-monogenics and a factorization of the Dunkl-Laplacian". Journal of Physics A: Mathematical and Theoretical 43 44 (2010): http://www.scopus.com/inward/record.url?eid=2-s2.0-78649651509&partnerID=MN8TOARS.
    10.1088/1751-8113/43/44/445202
  47. Fei, M.; Cerejeiras, P.; Kähler, U.. "Fueter's theorem and its generalizations in Dunkl-Clifford analysis". Journal of Physics A: Mathematical and Theoretical 42 39 (2009): http://www.scopus.com/inward/record.url?eid=2-s2.0-70449644424&partnerID=MN8TOARS.
    10.1088/1751-8113/42/39/395209
  48. Cerejeiras, P.; Vieira, N.. "Regularization of the non-stationary Schrödinger operator". Mathematical Methods in the Applied Sciences 32 5 (2009): 535-555. http://www.scopus.com/inward/record.url?eid=2-s2.0-63449119824&partnerID=MN8TOARS.
    10.1002/mma.1050
  49. Gürlebeck, K.; Morais, J.; Cerejeiras, P.. "Borel-Carathéodory type theorem for monogenic functions". Complex Analysis and Operator Theory 3 1 (2009): 99-112. http://www.scopus.com/inward/record.url?eid=2-s2.0-61449223107&partnerID=MN8TOARS.
    10.1007/s11785-008-0059-9
  50. Bernardes, G.; Cerejeiras, P.; Kähler, U.. "Fischer decomposition and Cauchy kernel for Dunkl-dirac operators". Advances in Applied Clifford Algebras 19 2 (2009): 163-171. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349983252&partnerID=MN8TOARS.
    10.1007/s00006-009-0151-x
  51. Cerejeiras, P.; Faustino, N.; Vieira, N.. "Numerical clifford analysis for nonlinear Schrödinger problem". Numerical Methods for Partial Differential Equations 24 4 (2008): 1181-1202. http://www.scopus.com/inward/record.url?eid=2-s2.0-47049123282&partnerID=MN8TOARS.
    10.1002/num.20312
  52. Cerejeiras, P.; Kähler, U.; Kravchenko, V.V.. "On a factorization of the Schrodinger and Klein-Gordon operators". Mathematical Methods in the Applied Sciences 31 14 (2008): 1722-1738. http://www.scopus.com/inward/record.url?eid=2-s2.0-52449088859&partnerID=MN8TOARS.
    10.1002/mma.999
  53. 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.
  54. Bernstein, S.; Cerejeiras, P.. "Carleson measure and monogenic functions". Studia Mathematica 180 1 (2007): 11-25. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547339828&partnerID=MN8TOARS.
    10.4064/sm180-1-2
  55. Cerejeiras, P.; Vieira, N.. "Factorization of the non-stationary Schrödinger operator". Advances in Applied Clifford Algebras 17 3 (2007): 331-341. http://www.scopus.com/inward/record.url?eid=2-s2.0-34548098603&partnerID=MN8TOARS.
    10.1007/s00006-007-0039-6
  56. Cerejeiras, P.; Sommen, F.; Vieira, N.. "Fischer decomposition and special solutions for the parabolic Dirac operator". Mathematical Methods in the Applied Sciences 30 9 (2007): 1057-1069. http://www.scopus.com/inward/record.url?eid=2-s2.0-34249285880&partnerID=MN8TOARS.
    10.1002/mma.825
  57. 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.
  58. 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
  59. Sommen, F.; Cerejeiras, P.; Kähler, U.. "Clifford analysis on projective hyperbolic space II". Mathematical Methods in the Applied Sciences 25 16-18 (2002): 1465-1477. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036862613&partnerID=MN8TOARS.
    10.1002/mma.382
  60. Cerejeiras, P.; Schaeben, H.; Sommen, F.. "The spherical X-ray transform". Mathematical Methods in the Applied Sciences 25 16-18 (2002): 1493-1507. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036860464&partnerID=MN8TOARS.
    10.1002/mma.384
  61. 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.
  62. Cerejeiras, P.; Kähler, U.. "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
Thesis / Dissertation
  1. Fonseca, Aurineide Castro. "Function theory for fractional Dirac operators". PhD, 2018. http://hdl.handle.net/10773/25081.
  2. Gomes, Narciso Resende. "Compressive sensing in Clifford analysis". PhD, 2015. http://hdl.handle.net/10773/15170.
  3. Vieira, Nelson Felipe Loureiro. "Theory of the parabolic Dirac operators and its applications to non-linear differential equations". PhD, 2009. http://hdl.handle.net/10773/2924.
  4. Ferreira, Milton dos Santos. "Continuous wavelet transforms on the unit sphere". PhD, 2008. http://hdl.handle.net/10773/2950.
  5. Pinto, Ana Cristina Rodrigues. "Soluções fundamentais dos operadores discretos de Laplace e Dirac". Master, 2008. http://hdl.handle.net/10773/9500.
  6. Coutinho, Cláudia Alexandra da Costa. "O problema de stokes em espaços de Sobolev". Master, 2006. http://hdl.handle.net/10773/5017.
  7. Vieira, Nelson Felipe Loureiro. "Transformações de Möbius em RO". Master, 2005. http://hdl.handle.net/10773/2880.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/01/11 Pseudo-differential Operator Calculus in Discrete Clifford Analysis 2024 Workshop on Schur Analysis and Applications to Hypercomplex Analysis Neural Networks and Linear Systems, Jan. 8-12, 2024
Chapman University, Orange CA US (Orange, CA, United States)
2024/01/04 Ternary Grassmann algebras and Fock spaces with a view to hypersymmetry JMM2024 - Joint Mathematical Meetings
JMM2024 - Joint Mathematical Meetings - San Francisco (San Francisco, United States)
2023/11/11 Modern function-theoretical methods in hypercomplex analysis with applications 2 NBFAS North British Functional Analysis Seminars
Newcastle University (Newcastle, United Kingdom)
2023/11/10 Modern function-theoretical methods in hypercomplex analysis with applications 1 NBFAS North British Functional Analysis Seminars
Newcastle University (Newcastle, United Kingdom)
2023/07/21 Ultrahyperbolic Clifford analysis and Clifford-Krein reproducing kernel modules ISAAC 2023 - 14th International ISAAC Congress - special session on Integral Transforms and Reproducing Kernels
University of São Paulo, Campus Ribeirão Preto (Brazil) (Ribeirão Preto, Brazil)
2023/07/17 White and Grey noise analysis in the case of generalised Grassmann algebras ISAAC 2023 - 14th International ISAAC Congress
São Paulo University, Ribeirão Preto (Ribeirão Preto, Brazil)
2023/06/04 Discrete Clifford analysis - overview and new trends ICCA 2023 - 13th International Conference on Clifford Algebras and their Applications in Mathematical Physics
Holon Institute of Technology (Holon, Israel)
2023/05/26 Generalized white noise analysis on ternary Grassmanian algebras Workshop on Harmonic Analysis and Approximation theory
University of Hassan II, Casablanca (Casablanca, Morocco)
2023/04/26 About the Fredholm determinant for quaternionic operators ICMMP2023, International Conference on Mathematical Methods in Physics
Sultan Moulay Slimane University (Marrakesh, Morocco)
2022/11/17 Generalized White noise analysis and stochastic distributions Advances in Operator Theory with Applications to Mathematical Physics 14-18 November, 2022
Chapman University, CA USA (Orange, United States)
2022/11/12 Discrete pseudo-differential operators in the context of Clifford analysis Conference on Analysis of Dirac type and Higher Spin Operators: Honoring John Ryan
(Orange, United States)
2022/10/27 On Grothendieck-Lidskii formula for quaternionic operators ICMAM 2022 Latin America - International Conference: Multidisciplinary Aspects in Mathematics And Its Applications 25-28 October 2022
2022/06/30 Regularization of inverse problems Workshop on Fault-Tolerant Wireless Structural Health Monitoring
University of Aveiro (Aveiro, Portugal)
2021/05/27 A function theory for discrete operators Seminar
École Polytechnique de Paris (Paris, France)
2020/09/10 Ultrahyperbolic Clifford analysis and Clifford-Krein reproducing kernel modules Recent progress in Hyper Complex Analysis and Geometry
Politecnico di Milano (Milano)
2020/08/31 Ternary Grassmanian algebras and generalized white noise analysis International Conference on Generalized Functions
Ghent University (Ghent)
2020/08/03 On generalised ternary Clifford algebras 12th International Conference in Clifford Algebras and Their Applications in Mathematical Physics
University of Science and Technology of China (USTC) (Hefei, China)
2020/07/07 Discrete Pseudo-differential Operators and Boundary Value Problems in Hypercomplex Function Theory Pseudo-differential Conference (be harmonic with analysis)
Ghent University (Ghent, Belgium)
2020/02/19 Clifford Krein modules with Reproducing Kernels HAMS 2020 (in honor of K. Guerlebeck)
Bauhaus Universitaet Weimar, (Weimar, Germany)
2019/12/02 Discrete analogues of the spatial Dirac operator and their function theory QIPA 2019 - 5th Int. Conf. on Quasilinear Equations, Inverse Problems and Their Applications
Moscow Institute of Physics and Technology (Dolgoprudny, Russia)
2019/04/01 SU(3) symmetrisation generalised ternary Clifford algebras International Conference on Mathematical Methods in Physics (in memory of Professor Ahmed Intissar)
Sultan Moulay Slimane University (Marrakesh, Morocco)
2018/11/12 Operator theory for discrete Clifford analysis Advances in Operator Theory with Applications to Mathematical Physics
Chapman University, CA, US (Orange City, United States)
2018/10/27 On quaternionic Gabor frames AMS Sectional Meeting
San Francisco State University (San Francisco, United States)
2018/09/24 Discrete Clifford analysis: germ of an operator theory International Conference Hypercomplex Analysis and Applications - ICHAA 18
University of Erfurt (Erfurt, Germany)
2018/08/20 Discrete Operator Theory for Clifford Analysis International Conference on Function Theories in Higher Dimensions
University of Tampere (Tampere, Finland)
2018/08/09 Reproducing Kernel Hilbert Modules based on fractional derivatives Clifford - Harmonic Analysis Week
University of Macao (Macau, China)
2018/08/06 Application of monogenic curvelets to detection in radiological images Seminar
South China Agricultural University (Guangzhou, China)
2018/07/30 Discrete Operator Theory in Clifford Analysis Workshop on Clifford Analysis
University of Science and Technology of China (USTC) (Hefei, China)
2018/06/28 Can you have cubic roots of the Laplacian? Seminar
Universität Passau (Passau, Germany)
2014/03/05 Non-commutative harmonic analysis for differential-difference operators 4th Micro- local Day
Imperial College London (London, United Kingdom)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2022/09/30 - 2023/07/17 Homological Methods in Script Geometry
Supervisor
 Master course in Mathematics (Master)
Universidade de Aveiro, Portugal
2022/09/30 - 2023/07/11 The Chern-Gauss-Bonnet Theorem for Grushin Manifolds
Co-supervisor
 Master in Mathematics (Master)
Universidade de Aveiro, Portugal
2015 - 2015 Teoria de Funções para Operadores Fracionários de Dirac
Supervisor
 Matemática e Aplicações (PhD)
Universidade de Aveiro, Portugal
2013 - 2013/09/30 Compressive Sensing in Clifford Analysis
Co-supervisor
Universidade de Aveiro, Portugal

Universidade do Minho, Portugal
2009 - 2009/06/19 Approximation by homogeneous polynomial solutions of the Riesz system in R^3
Co-supervisor
Bauhaus-Universität Weimar, Germany
2008 - 2008 Transformadas Contínuas de Onduleta na Superfície Esférica
Co-supervisor
 Matemática (PhD)
Universidade de Aveiro, Portugal
2006 - 2006 Teoria de Operadores de Dirac Parabólicos e Suas Aplicações a Equações Diferenciais Não-lineares
Supervisor
 Matemática (PhD)
Universidade de Aveiro, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2012/03 - Current Workshop "Annual Applications and Generalizations of Complex Analysis", an annual workshop of 2 days which joins international participants from complex and hypercomplex analysis. (2012)
Workshop (Co-organisor)
 Universidade de Aveiro, Portugal
2012 - Current European Intensive Course on Complex Analysis, its Generalizations and Applications, of a total of 12 hours of lecture time, at a postgraduate level, and centered around topics of Partial Differential Equations, Harmonic Analysis, Representation Theory, and Inverse Problems. (2012)
Seminar (Co-organisor)
 Universidade de Aveiro, Portugal
2024/01/03 - 2024/01/06 AMS Special Session on APPLICATIONS OF HYPERCOMPLEX ANALYSIS, part of Joint Mathematical Meetings 2024, SF CA US (2024/01/03 - 2024/01/06)
Conference (Co-organisor)
2023/04/24 - 2023/04/28 ICMMP2023, International Conference on Mathematical Methods in Physics, Marrakesh, Morroco, April 24 - 28, 2023. The conference will bring together leading experts and research scholars to exchange and share their experience and research results on all aspects of mathematical physics and to promote transference of knowledge at the crossroads of mathematics and physics. (2023/04/24 - 2023/04/28)
Conference (Co-organisor)
 Université Sultan Moulay Slimane, Morocco

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2022/09/06 - 2022/09/10 Special session "Operators and Clifford Analysis" in 33th International Workshop on Operator Theory and its Applications, IWOTA 2022 (2022/09/06 - 2022/09/10)
Meeting (Co-organisor)
 Uniwersytet Jagiellonski w Krakowie Wydzial Matematyki i Informatyki, Poland
2019/07/29 - 2019/08/02 The 12th International Society for Analysis, its Applications and Computation (ISAAC) Congress is the main bi-annual event of the society. It joined researchers form different areas of Analysis and its applications, with 543 registered participants from 64 different countries which attended 433 talks spanned by 23 sessions, including sessions of the special interest groups of the society. URL: http://isaac2019.web.ua.pt/ (2019/07/29 - 2019/08/02)
Congress (President of the Organising Committee)
 Universidade de Aveiro, Portugal
2019/04/01 - 2019/04/05 International Conference on Mathematical Methods in Physics (in memory of Professor Ahmed Intissar) (2019/04/01 - 2019/04/05)
Conference (Co-organisor)
 Université Sultan Moulay Slimane, Morocco
2016/03/29 - 2016/04/02 International Conference "Past and Future Directions in Hypercomplex and Harmonic Analysis - Celebrating Frank Sommen’s 60th birthday", together with Politecnico di Milano, (organizers P. Cerejeiras, F. Colombo, U. Kähler, I. Sabadini). (2016/03/29 - 2016/04/02)
Conference (Co-organisor)
 Universidade de Aveiro, Portugal

Politecnico di Milano, Italy

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2023/10/27 Problemas de Riemann-Hilbert na teoria de polinómios ortogonais matriciais
(Thesis) Arguer
 Assil Fradi (PhD)
Universidade de Aveiro, Portugal
2023/08/23 Clifford Algebras and Clifford Analysis
(Thesis) Main arguer
 Cihan Güder (Master)
Dogu Akdeniz Universitesi Matematik Bolumu, Cyprus
2023/05/26 Théorèmes de Boas pour certaines Transformations Intégrales
(Thesis) Main arguer
 El Mehdi Berkak (PhD)
Université Hassan II de Casablanca, Morocco
2023/05/16 The discrete Scale-shift operator and its Mathematical Impacts
(Thesis) Main arguer
 Mor Ngom (PhD)
Université de Reims Champagne Ardenne Bibliothèque Universitaire, France
2022/06/10 Gestão de Portfólios: Otimização e Previsão
(Thesis) Main arguer
 João Dantas Gomes Vaz (Master)
Universidade de Cabo Verde, Cape Verde
2021/02/22 Reproducing Kernel Techniques and Polyanalytic Function Theory in Hypercomplex Analysis
(Thesis) Main arguer
 Kamal Diki (PhD)
Politecnico di Milano, Italy
2020/12/11 On Hypercomplex and Time-Frequency Analysis
(Thesis) Main arguer
 Veja Vuojamo (PhD)
Aalto-yliopisto, Finland
2015/04 Quaternionic Gabor Expansion
(Thesis) Main arguer
 Stefan Hartmann (Master)
Technische Universität Bergakademie Freiberg, Germany

Committee member

Activity description
Role 		Institution / Organization
2020/11 - Current Member of the FWO expert panel W&T1PD Mathematical Sciences
Member
 Fonds Wetenschappelijk Onderzoek Vlaanderen, Belgium
2017/11/01 - Current Member of the ISAAC board, governing body of the International Society for Analysis, its Applications, and Computation.
Member
 International Society for Analysis, its Applications, and Computation, Sweden

Conference scientific committee

Conference name Conference host
2023/07/17 - 2023/07/21 14th ISAAC Congress 2023 - Congress of the International Society for Analysis, its Applications and Computation University of São Paulo, Campus Ribeirão Preto (Brazil)
2023/06/04 - 2023/06/09 ICCA 2023 - 13th International Conference on Clifford Algebras and their Applications in Mathematical Physics Holon Institute of Technology
2021/08/02 - 2021/08/06 13th International Society for Analysis, its Applications and Computation Congress Ghent University, Ghent, Belgium
2020/08/03 - 2020/08/07 The 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA12) University of Science and Technology of China (USTC)

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2023/08/23 - 2023/09/02 Summer School Modern Problems in PDEs and Applications Mathematics (Doktor (PhD)) Universiteit Gent, Belgium

Journal scientific committee

Journal title (ISSN) Publisher
2022/12 - Current Complex Analysis and Operator Theory (1661-8254) Springer
2019 - Current Advances in Applied Clifford Algebras (0188-7009) Springer
2012 - Current International Journal of Wavelets, Multiresolution and Information Processing (0219-6913) World Scientific

Other jury / evaluation

Activity description Institution / Organization
2023/03/31 - 2023/07/27 Member of prize committee of ISAAC - "President's Award for young ISAACs" International Society for Analysis, its Applications, and Computation, Sweden
2019/03/01 - 2019/08/07 ISAAC award 2019 International Society for Analysis, its Applications, and Computation, Sweden