Fischer decomposition by inframonogenic functions
Author
Malonek, Helmuth R.
Peña, Dixan
Sommen, Frank
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/141410.4067/S0719-06462010000200012
Abstract
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.