This article is cited in 2 papers

Uniform and tangential harmonic approximation of continuous functions on arbitrary sets

A. A. Shaginyan

Erevan State University

Abstract: Necessary and sufficient conditions which must be imposed on a set $E$ are derived, such that functions continuous on $E\subset G$ can be approximated by functions harmonic in a region $G\subset R^n$.

UDC: 517.5

Received: 26.01.1970

 English version: Mathematical Notes, 1971, 9:2, 78–84

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