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Hendrik De Bie
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Spherical harmonics and integration in superspace
H De Bie, F Sommen
Journal of Physics A: Mathematical and Theoretical 40 (26), 7193, 2007
862007
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
842012
On the Clifford–Fourier transform
H De Bie, Y Xu
International Mathematics Research Notices 2011 (22), 5123-5163, 2011
732011
Clifford algebras, Fourier transforms, and quantum mechanics
H De Bie
Mathematical Methods in the Applied Sciences 35 (18), 2198-2228, 2012
642012
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
572017
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
542016
The class of Clifford-Fourier transforms
H De Bie, N De Schepper, F Sommen
Journal of Fourier Analysis and Applications 17, 1198-1231, 2011
502011
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
492009
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
472018
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
472016
Fourier transform and related integral transforms in superspace
H De Bie
Journal of Mathematical Analysis and Applications 345 (1), 147-164, 2008
412008
Correct rules for Clifford calculus on superspace
H De Bie, F Sommen
Advances in Applied Clifford Algebras 17, 357-382, 2007
392007
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
382015
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
362014
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
352007
Integration in superspace using distribution theory
K Coulembier, H De Bie, F Sommen
Journal of Physics A: Mathematical and Theoretical 42 (39), 395206, 2009
332009
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
322020
The fractional Clifford-Fourier transform
H De Bie, N De Schepper
Complex analysis and operator theory 6, 1047-1067, 2012
322012
A Clifford analysis approach to superspace
H De Bie, F Sommen
Annals of Physics 322 (12), 2978-2993, 2007
322007
The Cauchy‐Kowalewski product for bicomplex holomorphic functions
H De Bie, DC Struppa, A Vajiac, MB Vajiac
Mathematische Nachrichten 285 (10), 1230-1242, 2012
282012
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