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Approximation auf Abgeschlossenen Teilen Riemannscher Flächen

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Abstract

In this paper we introduce a class of closed subsets with the approximation property; that means every function f defined on such a set E, provided that f has certain necessary local properties, admits uniform approximation on E by functions, which are meromorphic (holomorphic) on the whole Riemann surface. In the definition of these sets there are no genus-restricting conditions. On the other hand, all the so called essentially of finite genus sets (for which the presented results are known) are in our class.

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  1. Institut für Mathematik, Universität Hannover, Welfengarten 1, 3000, Hannover l

    Gerald Schmieder

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  1. Gerald Schmieder
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Schmieder, G. Approximation auf Abgeschlossenen Teilen Riemannscher Flächen. Manuscripta Math 46, 165–192 (1984). https://doi.org/10.1007/BF01185200

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  • DOI: https://doi.org/10.1007/BF01185200

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