37 citations · 129 across the 18 of their papers we have counts for
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math.CA2008★ 6 cited
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
Hendrik De Bie
We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are o…
quant-ph2008★ 11 cited
Schrödinger equation with delta potential in superspace
Hendrik De Bie
A superspace version of the Schrödinger equation with a delta potential is studied using Fourier analysis. An explicit expression for the energy of the single bound state is found…
math.CA2008★ 37 cited
Fourier transform and related integral transforms in superspace
Hendrik De Bie
In this paper extensions of the classical Fourier, fractional Fourier and Radon transforms to superspace are studied. Previously, a Fourier transform in superspace was already stud…