Embedding Factors for Branching in Hermitian Clifford Analysis
Complex Variables
2013-05-17 v1
Abstract
A step 2 branching decomposition of spaces of homogeneous Hermitian monogenic polynomials in C^n is established with explicit embedding factors in terms of the generalized Jacobi polynomials, which allows for an inductive construction of an orthogonal basis for those spaces. The embedding factors and the orthogonal bases are fully worked out in the complex dimension 2 case, with special interest for the Appell property.
Cite
@article{arxiv.1305.3698,
title = {Embedding Factors for Branching in Hermitian Clifford Analysis},
author = {F. Brackx and H. De Schepper and R. Lavicka and V. Soucek},
journal= {arXiv preprint arXiv:1305.3698},
year = {2013}
}
Comments
submitted. arXiv admin note: text overlap with arXiv:1102.4211