The study of spherical harmonics in superspace, introduced in (De Bie and Sommen 2007 J.
Phys. A: Math. Theor. 40 7193) is further elaborated. A detailed description of spherical …

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 studied …

Integration in superspace using distribution theory Page 1 Journal of Physics A:
Mathematical and Theoretical Integration in superspace using distribution theory To cite this …

Conformal symmetries of the super Dirac operator Page 1 Rev. Mat. Iberoam. 31 (2015), no. 2,
373–410 doi 10.4171/rmi/838 c European Mathematical Society Conformal symmetries of the …

arXiv:0707.2862v1 [math.AP] 19 Jul 2007 Fundamental solutions for the super Laplace and
Dirac operators and all their natural Page 1 arXiv:0707.2862v1 [math.AP] 19 Jul 2007 …

We introduce the umbral calculus formalism for hypercomplex variables starting from the fact
that the algebra of multivariate polynomials shall be described in terms of the generators of …

We define a q-deformation of the Dirac operator, inspired by the one-dimensional q-
derivative. This implies a q-deformation of the partial derivatives. By taking the square of this …

In this chapter an introduction is given to Clifford analysis and the underlying Clifford
algebras. The functions under consideration are defined on Euclidean space and take …

In previous work the framework for a hypercomplex function theory in superspace was
established and amply investigated. In this paper a Cauchy integral formula is obtained in …

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 as a …