The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces
Complex Variables
2010-12-23 v1
Abstract
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 which take values in the space of s-vectors. Actually, we describe even the so-called Gelfand-Tsetlin bases for such spaces in terms of Gegenbauer polynomials. As an application, we obtain an algorithm how to compute an orthogonal basis of the space of homogeneous solutions of a generalized Moisil-Theodoresco system in R^m.
Keywords
Cite
@article{arxiv.1012.4998,
title = {The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces},
author = {Richard Delanghe and Roman Lavicka and Vladimir Soucek},
journal= {arXiv preprint arXiv:1012.4998},
year = {2010}
}
Comments
submitted