On pseudoanalyticity of continuous functions with constant $σ$-extension

The theorem on pseudoanalyticity of continuous functions with constant $σ$-extension is proved; this is an analog of the well known results due to Bohr, Rademacher, Men'shov, and Trokhimchuk concerning the analyticity of functions with constant extension.

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Bibliographic Details
Date:1993
Main Authors: Bondar, A. V., Lukyanova, E. A., Бондарь, А. В., Лукьянова, Е. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5832
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal