The main aim of this paper is to recall the notion of Gelfand–Tsetlin bases (GT bases for
short) and to use it for an explicit construction of orthogonal bases for the spaces of spherical …

The main aim of this paper is to construct explicitly orthogonal bases for the spaces of k‐
homogeneous polynomial solutions of the Hodge–de Rham system in the Euclidean space …

In this note, we describe the Gel'fand-Tsetlin procedure for the construction of an orthogonal
basis in spaces of Hermitean monogenic polynomials of a fixed bidegree. The algorithm is …

An explicit algorithmic construction is given for orthogonal bases for spaces of
homogeneous polynomials, in the context of Hermitean Clifford analysis, which is a higher …

In this note we describe explicitly irreducible decompositions of kernels of the Hermitean
Dirac Operators. In [3], it is shown that these decompositions are essential for a construction …

The classical Fischer decomposition of spinor‐valued polynomials is a key result on
solutions of the Dirac equation in the Euclidean space. As is well‐known, it can be …

In this note, we give an explicit description of orthogonal (even the Gelfand-Tsetlin) bases for
the spaces of homogeneous solutions of the Riesz system in R 3 using hypergeometric …

Without any doubt, complex analysis belongs to the most important areas of mathematics.
From its beginnings, there have been several attempts to generalize this deep theory to …

Two powerful theorems in Clifford analysis Page 1 Two powerful theorems in Clifford analysis
Fred Brackx Clifford Research Group, Department of Mathematical Analysis, Faculty of …

We define a CR structure on a distinguished hyperplane in $\mathbb {C}^{n+ 1} $ and the
CR sub-Laplacian on this CR manifold. We also define symmetries of the CR sub-Laplacian …