In this review, we give an overview of several recent generalizations of the Fourier transform,
related to either the Lie algebra or the Lie superalgebra. In the former case, one obtains …

Special functions enable us to formulate a scientific problem by reduction such that a new,
more concrete problem can be attacked within a well-structured framework, usually in the …

Symmetric matrices with zero row sums occur in many theoretical settings and in real-life
applications. When the offdiagonal elements of such matrices are iid random variables and …

A bstract We propose non-linear equations for the formal Type-B Higher Spin Gravity that is
dual to the free fermion or to the Gross-Neveu model, depending on the boundary …

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 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 …

Frame theory is nowadays a fundamental research area in mathematics, computer science,
and engineering with many exciting applications in a variety of different fields. Introduced in …

We study various aspects of the metaplectic Howe duality realized by the Fischer
decomposition for the metaplectic representation space of polynomials on R 2 n valued in …