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 | 87 | 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 | 74 | 2011 |
Clifford algebras, Fourier transforms, and quantum mechanics H De Bie Mathematical Methods in the Applied Sciences 35 (18), 2198-2228, 2012 | 66 | 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 | 55 | 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 | 50 | 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 | 50 | 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 |
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 | 38 | 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 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 | 36 | 2015 |
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 |
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 | 33 | 2020 |
The fractional Clifford-Fourier transform H De Bie, N De Schepper Complex analysis and operator theory 6, 1047-1067, 2012 | 33 | 2012 |
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 |
The Cauchy‐Kowalewski product for bicomplex holomorphic functions H De Bie, DC Struppa, A Vajiac, MB Vajiac Mathematische Nachrichten 285 (10), 1230-1242, 2012 | 29 | 2012 |