Gelfand-Tsetlin Bases of Orthogonal Polynomials in Hermitean Clifford Analysis

Abstract

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 dimensional function theory centered around the simultaneous null solutions of two Hermitean conjugate complex Dirac operators.

Keywords

• Gelfand-Tsetlin bases
• Orthogonal polynomials
• Hermitean Clifford analysis