A Product for Special Classes of Monogenic Functions and Tensors

  • Franciscus Sommen

    Universiteit Gent, Belgium
  • P. Van Lancker

    Universiteit Gent, Belgium

Abstract

In this paper we define a product for monogenic functions derived from Fischer’s decomposition. Although this product can be defined for all monogenic polynomials, it can be canonically defined only for a special subclass of polynomials. The definition of the product can be generalized to the setting of monogenic tensors.

Cite this article

Franciscus Sommen, P. Van Lancker, A Product for Special Classes of Monogenic Functions and Tensors. Z. Anal. Anwend. 16 (1997), no. 4, pp. 1013–1026

DOI 10.4171/ZAA/802