The transformation formula of the Berezin integral holds, in the non-compact case, only up to
boundary integrals, which have recently been quantified by Alldridge–Hilgert–Palzer. We …

The orthosymplectic supergroup OSp (m| 2n) is introduced as the supergroup of isometries
of flat Riemannian superspace R^{m| 2n} which stabilize the origin. It also corresponds to …

The notion of spherically symmetric superfunctions as functions invariant under the
orthosymplectic group is introduced. This leads to dimensional reduction theorems for …

In this paper, Hermite polynomials related to quantum systems with orthogonal O (m)‐
symmetry, finite reflection group symmetry 𝒢< O (m), symplectic symmetry Sp (2n) and …

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 this paper, 0-normalized system for the super Laplace operator (that is Laplace operator
in superspace) is established. According to this system, we obtain Almansi type …

We construct a minimal representation of the orthosymplectic Lie supergroup for even,
generalizing the Schrödinger model of the minimal representation of to the super case. The …

Recently, the Fischer decomposition for polynomials on superspace ℝ m| 2n (that is,
polynomials in m commuting and 2n anti-commuting variables) has been obtained unless …

The aim of this paper is to obtain a generalized CK-extension theorem in superspace for the
biaxial Dirac operator ∂ _ x+ ∂ _ y∂ x+∂ y. In the classical commuting case, this result can …

Distributions in superspace constitute a very useful tool for establishing an integration
theory. In particular, distributions have been used to obtain a suitable extension of the …