Let ∂x denote the Dirac operator in ℝm. 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 ∂xf∂x = 0. The solutions of this “sandwich” equation, which we call inframonogenic functions, are used to obtain a new Fischer decomposition for homogeneous polynomials in ℝm.
@article{1414,
title = {Fischer decomposition by inframonogenic functions},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1414}
}
Malonek, Helmuth R.; Peña, Dixan; Sommen, Frank. Fischer decomposition by inframonogenic functions. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1414/