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Zeitschrift für Analysis und ihre Anwendungen

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Volume 16, Issue 4, 1997, pp. 1013–1026
DOI: 10.4171/ZAA/802

Published online: 1997-12-31

A Product for Special Classes of Monogenic Functions and Tensors

Franciscus Sommen[1] and P. Van Lancker[2]

(1) Universiteit Gent, Belgium
(2) Universiteit Gent, Belgium

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.

Keywords: Clifford algebra, tensors, Clifford analysis, differential forms

Sommen Franciscus, Van Lancker P.: A Product for Special Classes of Monogenic Functions and Tensors. Z. Anal. Anwend. 16 (1997), 1013-1026. doi: 10.4171/ZAA/802