JournalszaaVol. 2, No. 4pp. 309–320

Bergmansche Integraloperatoren für instationäre Prozesse in der Ebene

  • Eberhard Lanckau

    Technische Universität Chemnitz, Germany
Bergmansche Integraloperatoren für instationäre Prozesse in der Ebene cover
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Abstract

The complex integral operators of S. Bergman transform holomorphic functions of a complex variable into solutions of linear partial differential equations of elliptic type. In this way they make possible to construct explicitly these solutions and to study their properties by function-theoretic methods. We offer a generalization of Bergman’s operator method by which linear equations for time-dependent processes in the plane may be treated uniquely.

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Eberhard Lanckau, Bergmansche Integraloperatoren für instationäre Prozesse in der Ebene. Z. Anal. Anwend. 2 (1983), no. 4, pp. 309–320

DOI 10.4171/ZAA/68