Hypercomplex Factorization of the Helmholtz Equation

  • Klaus Gürlebeck

    Bauhaus-Universität Weimar, Germany

Abstract

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.

Cite this article

Klaus Gürlebeck, Hypercomplex Factorization of the Helmholtz Equation. Z. Anal. Anwend. 5 (1986), no. 2, pp. 125–131

DOI 10.4171/ZAA/186