Gel’fand-Tsetlin Procedure for the Construction of Orthogonal Bases in Hermitean Clifford Analysis.

Authors :: Brackx, Fred
De Schepper, Hennie
Lávička, Roman
Souček, Vladimír
Source :: AIP Conference Proceedings; 9/30/2010, Vol. 1281 Issue 1, p1508-1511, 4p
Publication Year :: 2010
Abstract: 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 based on the Cauchy-Kovalevskaya extension theorem and the Fischer decomposition in Hermitean Clifford analysis. [ABSTRACT FROM AUTHOR]

Subjects :: MATHEMATICAL analysis
ORTHOGONAL polynomials
MONOGENIC functions
DOMAINS of holomorphy
ALGORITHMS
ALGEBRA

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