4 citations · 10 across the 3 of their papers we have counts for
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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…
On polynomial solutions of generalized Moisil-Theodoresco systems and Hodge-de Rham systems
Richard Delanghe, Roman Lavicka, Vladimir Soucek
The aim of the paper is to study relations between polynomial solutions of generalized Moisil-Theodoresco (GMT) systems and polynomial solutions of Hodge-de Rham systems and, using…