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Zeitschrift für Analysis und ihre Anwendungen


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Volume 18, Issue 2, 1999, pp. 349–360
DOI: 10.4171/ZAA/886

Published online: 1999-06-30

On Operators and Elementary Functions in Clifford Analysis

Wolfgang Sprössig[1]

(1) Bergakademie Freiberg, Germany

In this paper a survey on the construction of Clifford regular elementary func-tions.by Fueter’s mapping is given. Furthermore, using a suitable decomposition of the Dirac operator an application of the $\bar{\partial}$-problem is lined out.

Keywords: Clifford regular elementary functions, Fueter’s method, $\bar{\partial}$-problem

Sprössig Wolfgang: On Operators and Elementary Functions in Clifford Analysis. Z. Anal. Anwend. 18 (1999), 349-360. doi: 10.4171/ZAA/886