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Zeitschrift für Analysis und ihre Anwendungen


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Volume 5, Issue 2, 1986, pp. 125–131
DOI: 10.4171/ZAA/186

Published online: 1986-04-30

Hypercomplex Factorization of the Helmholtz Equation

Klaus Gürlebeck[1]

(1) Bauhaus-Universität Weimar, Germany

The main result of this paper is the construction of a global hypercomplex factorization of the Dirichiet problem for the Helmholtz equation. This result permits the reduction of the considered boundary value problem into two boundary value problems of first order for generalized analytic functions.

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Gürlebeck Klaus: Hypercomplex Factorization of the Helmholtz Equation. Z. Anal. Anwend. 5 (1986), 125-131. doi: 10.4171/ZAA/186