Fischer decomposition by inframonogenic functions

Details Fischer decomposition by inframonogenic functions Fischer decomposition by inframonogenic functions

2009-11-02

arxiv.org/abs/0911.0070v1

Mathematics

Complex Variables

10 pages, accepted for publication in CUBO, A Mathematical Journal

Scientific paper

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.

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