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Über einen Satz von Walsh für pseudoanalytische funktionen

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Abstract

We complete the results of [5] by the following theorem: Let G be a domain bounded by a closed piecewise smooth Jordan curve possessing corners with angles απ (o<α<2). Let f(z) be pseudoanalytic in G and continuous in ¯G, then there exists a sequence of pseudopolynomials converging uniformly to f(z) in ¯G. This theorem was proved by Walsh [9] in the case of analytic functions for an arbitrary Jordan domain.

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  1. Mathematisches Institut der Universität Dortmund, Postfach 500, 46 Dortmund

    Klaus Menke

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  1. Klaus Menke
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Menke, K. Über einen Satz von Walsh für pseudoanalytische funktionen. Manuscripta Math 13, 213–217 (1974). https://doi.org/10.1007/BF01168226

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  • DOI: https://doi.org/10.1007/BF01168226

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