13 citations · 14 across the 6 of their papers we have counts for
7 papers
Massless field equations for spin 3/2 in dimension 6
Roman Lavicka, Vladimir Soucek, Wei Wang
Main topic of the paper is a study of properties of massless fields of spin 3/2 in its Euclidean version. A lot of information is available already for massless fields in dimension…
Fundaments of Quaternionic Clifford Analysis II: Splitting of Equations
Fred Brackx, Hennie De Schepper, David Eelbode +2
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional function theory which refines harmonic analysis and generalizes to higher dimension…
The Radon transform between monogenic and generalized slice monogenic functions
Fabrizio Colombo, Roman Lavicka, Irene Sabadini +1
In [J. Bures, R. Lavicka, V. Soucek, Elements of quaternionic analysis and Radon transform, Textos de Matematica 42, Departamento de Matematica, Universidade de Coimbra, 2009], the…
Generating functions for spherical harmonics and spherical monogenics
Paula Cerejeiras, Uwe Kaehler, Roman Lavicka
In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics in R^m. Here spherical monogenics are polynomial solu…
Embedding Factors for Branching in Hermitian Clifford Analysis
F. Brackx, H. De Schepper, R. Lavicka +1
A step 2 branching decomposition of spaces of homogeneous Hermitian monogenic polynomials in C^n is established with explicit embedding factors in terms of the generalized Jacobi p…
Orthogonal Appell bases for Hodge-de Rham systems in Euclidean spaces
Roman Lavicka
Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for the spaces of k-homogeneous polynomial solutions of the Hodge-de Rham system in the…
Gelfand-Tsetlin Bases of Orthogonal Polynomials in Hermitean Clifford Analysis
F. Brackx, H. De Schepper, R. Lavicka +1
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 dimension…