Hendrik De Bie

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Luc VinetAisenstadt Professor of Physics, Université de MontréalVerified email at umontreal.ca
Vincent X. GenestDepartment of Mathematics, Massachusetts Institute of TechnologyVerified email at mit.edu
Joris Van der JeugtGhent University, BelgiumVerified email at ugent.be
Roy OsteGhent UniversityVerified email at UGent.be
Kevin CoulembierUniversity of SydneyVerified email at sydney.edu.au
Denis ConstalesProfessor of Mathematical Analysis, Ghent UniversityVerified email at UGent.be
Aleksandra PizuricaProfessor in Statistical Image Modeling, Ghent UniversityVerified email at UGent.be
David Eelbodeuniversity of antwerp - department of mathematicsVerified email at uantwerpen.be
Srđan LazendićPostdoctoral Researcher, Ghent UniversityVerified email at UGent.be
Bent Orstedprofessor of mathematics, Aarhus UniversityVerified email at math.au.dk
Lander CnuddeOnderwijsontwikkelaar, UGentVerified email at ugent.be
Hennie De SchepperGewoon hoogleraar wiskunde, Ghent UniversityVerified email at ugent.be
Plamen IlievProfessor of Mathematics, Georgia TechVerified email at math.gatech.edu
Yuan XuProfessor of Mathematics, University of OregonVerified email at uoregon.edu
Jean-Michel LemayUniversité de MontréalVerified email at umontreal.ca
Alexei ZhedanovSchool of Mathematics, Renmin UniversityVerified email at ruc.edu.cn
Gerik ScheuermannProfessor für Informatik, Universität LeipzigVerified email at informatik.uni-leipzig.de
Roxana BujackLos Alamos National LaboratoryVerified email at lanl.gov
Adrian VajiacChapman UniversityVerified email at chapman.edu
Mihaela VajiacAssociate Professor of Mathematics, Chapman UniversityVerified email at chapman.edu

Hendrik De Bie

professor in mathematics, Ghent University

Verified email at UGent.be - Homepage

harmonic analysis Dirac operators Fourier transforms special functions orthogonal polynomials


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Dunkl operators and a family of realizations of 𝔬𝔰𝔭 (1\| 2) H De Bie, B Ørsted, P Somberg, V Souček Transactions of the American Mathematical Society 364 (7), 3875-3902, 2012	89	2012
Spherical harmonics and integration in superspace H De Bie, F Sommen Journal of Physics A: Mathematical and Theoretical 40 (26), 7193, 2007	86	2007
On the Clifford–Fourier transform H De Bie, Y Xu International Mathematics Research Notices 2011 (22), 5123-5163, 2011	78	2011
Clifford algebras, Fourier transforms, and quantum mechanics H De Bie Mathematical Methods in the Applied Sciences 35 (18), 2198-2228, 2012	69	2012
A higher rank Racah algebra and the Laplace–Dunkl operator H De Bie, VX Genest, W van de Vijver, L Vinet Journal of Physics A: Mathematical and Theoretical 51 (2), 025203, 2017	58	2017
A Dirac–Dunkl Equation on S ² and the Bannai–Ito Algebra H De Bie, VX Genest, L Vinet Communications in Mathematical Physics 344, 447-464, 2016	57	2016
Explicit formulas for the Dunkl dihedral kernel and the (κ, a)-generalized Fourier kernel D Constales, H De Bie, P Lian Journal of Mathematical Analysis and Applications 460 (2), 900-926, 2018	52	2018
The class of Clifford-Fourier transforms H De Bie, N De Schepper, F Sommen Journal of Fourier Analysis and Applications 17, 1198-1231, 2011	51	2011
Spherical harmonics and integration in superspace: II H De Bie, D Eelbode, F Sommen Journal of Physics A: Mathematical and Theoretical 42 (24), 245204, 2009	49	2009
The Z2n Dirac–Dunkl operator and a higher rank Bannai–Ito algebra H De Bie, VX Genest, L Vinet Advances in Mathematics 303, 390-414, 2016	47	2016
Fourier transform and related integral transforms in superspace H De Bie Journal of Mathematical Analysis and Applications 345 (1), 147-164, 2008	41	2008
The Bannai-Ito algebra and some applications H De Bie, VX Genest, S Tsujimoto, L Vinet, A Zhedanov Journal of Physics: Conference Series 597 (1), 012001, 2015	40	2015
Convolution products for hypercomplex Fourier transforms R Bujack, H De Bie, N De Schepper, G Scheuermann Journal of mathematical imaging and vision 48, 606-624, 2014	39	2014
Correct rules for Clifford calculus on superspace H De Bie, F Sommen Advances in Applied Clifford Algebras 17, 357-382, 2007	38	2007
The fractional Clifford-Fourier transform H De Bie, N De Schepper Complex analysis and operator theory 6, 1047-1067, 2012	36	2012
The higher rank q-deformed Bannai-Ito and Askey-Wilson algebra H De Bie, H De Clercq, W van de Vijver Communications in Mathematical Physics 374 (1), 277-316, 2020	35	2020
Hermite and Gegenbauer polynomials in superspace using Clifford analysis H De Bie, F Sommen Journal of Physics A: Mathematical and Theoretical 40 (34), 10441, 2007	35	2007
Integration in superspace using distribution theory K Coulembier, H De Bie, F Sommen Journal of Physics A: Mathematical and Theoretical 42 (39), 395206, 2009	33	2009
A Clifford analysis approach to superspace H De Bie, F Sommen Annals of Physics 322 (12), 2978-2993, 2007	32	2007
Connecting spatial and frequency domains for the quaternion Fourier transform H De Bie, N De Schepper, TA Ell, K Rubrecht, SJ Sangwine Applied Mathematics and Computation 271, 581-593, 2015	29	2015

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