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Bergman-Operatoren mit Polynomen als Erzeugenden

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Abstract

The Bergman integral operators considered in this paper have particularly simple generating functions. This property is important in the study of solutions of partial differential equations by function theoretical methods. It is shown that those operators can be represented in a form free of integrals and that the corresponding class of equations includes equations which are related to the wave and Laplace equations and have been investigated in detail by K. W. Bauer and E. Peschl.

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Literatur

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Authors and Affiliations

  1. Mathematisches Institut der Universität, Haroldstr. 19, 4 Düsseldorf

    Manfred Kracht & Erwin Kreyszig

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  1. Manfred Kracht
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  2. Erwin Kreyszig
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Kracht, M., Kreyszig, E. Bergman-Operatoren mit Polynomen als Erzeugenden. Manuscripta Math 1, 369–376 (1969). https://doi.org/10.1007/BF01172142

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  • DOI: https://doi.org/10.1007/BF01172142

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