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Fischer Decomposition by Inframonogenic Functions by Malonek, Helmuth R.; Peña, Dixan Peña; Sommen, Frank is a scholarly article available to read on EtoBox.

What is Fischer Decomposition by Inframonogenic Functions about?

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.

Author

Malonek, Helmuth R.; Peña, Dixan Peña; Sommen, Frank

Published

2009

Language

EN