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Zeitschrift für Analysis und ihre Anwendungen

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Volume 2, Issue 4, 1983, pp. 309–320
DOI: 10.4171/ZAA/68

Published online: 1983-08-31

Bergmansche Integraloperatoren für instationäre Prozesse in der Ebene

Eberhard Lanckau[1]

(1) Technische Universität Chemnitz, Germany

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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Lanckau Eberhard: Bergmansche Integraloperatoren für instationäre Prozesse in der Ebene. Z. Anal. Anwend. 2 (1983), 309-320. doi: 10.4171/ZAA/68