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Zeitschrift für Analysis und ihre Anwendungen

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Volume 19, Issue 4, 2000, pp. 899–902
DOI: 10.4171/ZAA/988

Published online: 2000-12-31

On a Generalization of Fueter’s Theorem

Franciscus Sommen[1]

(1) Universiteit Gent, Belgium

In this paper we discuss a generalization of Fueter’s theorem which states that whenever $f(x_0, x)$ is holomorphic in $x_0+x$, then it satisfies $D?f = 0, D= \partial_{x_0} + i \partial_{x_1}+ j \partial_{x_2} + k \partial_{x_3}$ being the Fueter operator.

Keywords: Dirac operators, Clifford analysis, Vekua systems

Sommen Franciscus: On a Generalization of Fueter’s Theorem. Z. Anal. Anwend. 19 (2000), 899-902. doi: 10.4171/ZAA/988