29 citations · 48 across the 5 of their papers we have counts for
5 papers
The Cauchy-Kovalevskaya Extension Theorem in Hermitean Clifford Analysis
F. Brackx, H. De Schepper, R. Lavicka +1
Hermitean Clifford analysis is a higher dimensional function theory centered around the simultaneous null solutions, called Hermitean monogenic functions, of two Hermitean conjugat…
The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces
Richard Delanghe, Roman Lavicka, Vladimir Soucek
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 R^m w…
The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces
Richard Delanghe, Roman Lavicka, Vladimir Soucek
The classical Fischer decomposition of spinor-valued polynomials is a key result on solutions of the Dirac equation in the Euclidean space R^m. As is well-known, it can be understo…
The Gelfand-Tsetlin bases for spherical monogenics in dimension 3
S. Bock, K. Guerlebeck, R. Lavicka +1
The main aim of this paper is to recall the notion of the Gelfand-Tsetlin bases (GT bases for short) and to use it for an explicit construction of orthogonal bases for the spaces o…
Orthogonal basis for spherical monogenics by step two branching
R. Lavicka, V. Soucek, P. Van Lancker
Spherical monogenics can be regarded as a basic tool for the study of harmonic analysis of the Dirac operator in Euclidean space R^m. They play a similar role as spherical harmonic…