Abstract

MALONEK, Helmuth R; PENA PENA, Dixan  and  SOMMEN, Frank. Fischer decomposition by inframonogenic functions. Cubo [online]. 2010, vol.12, n.2, pp. 189-197. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462010000200012.

Let δ_x denote the Dirac operator in 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 δ_xf δ_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 R^m.

Keywords : Inframonogenic functions; Fischer decomposition.