Fischer decomposition by inframonogenic functions
Complex Variables
2009-11-03 v1
Abstract
Let D denote the Dirac operator in the Euclidean space R^m. In this paper, we present a refinement of the biharmonic functions and at the same time an extension of the monogenic functions by considering the equation DfD=0. The solutions of this "sandwich" equation, which we call inframonogenic functions, are used to obtain a new Fischer decomposition for homogeneous polynomials in R^m.
Cite
@article{arxiv.0911.0070,
title = {Fischer decomposition by inframonogenic functions},
author = {Helmuth R. Malonek and Dixan Peña Peña and Frank Sommen},
journal= {arXiv preprint arXiv:0911.0070},
year = {2009}
}
Comments
10 pages, accepted for publication in CUBO, A Mathematical Journal