Gelfand-Tsetlin Bases of Orthogonal Polynomials in Hermitean Clifford Analysis (1102.4211v1)

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 centred around the simultaneous null solutions of two Hermitean conjugate complex Dirac operators.