37 citations · 96 across the 4 of their papers we have counts for
4 papers
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…
Hermite and Gegenbauer polynomials in superspace using Clifford analysis
Hendrik De Bie, Frank Sommen
The Clifford-Hermite and the Clifford-Gegenbauer polynomials of standard Clifford analysis are generalized to the new framework of Clifford analysis in superspace in a merely symbo…
Fundamental solutions for the super Laplace and Dirac operators and all their natural powers
Hendrik De Bie, Frank Sommen
The fundamental solutions of the super Dirac and Laplace operators and their natural powers are determined within the framework of Clifford analysis.
A Clifford analysis approach to superspace
Hendrik De Bie, Frank Sommen
A new framework for studying superspace is given, based on methods from Clifford analysis. This leads to the introduction of both orthogonal and symplectic Clifford algebra generat…