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On pseudoanalyticity of continuous functions with constant σ-extension

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Abstract

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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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. V. Bondar' & E. A. Luk'yanova

Authors
  1. A. V. Bondar'
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  2. E. A. Luk'yanova
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 4, pp. 459–465, April, 1993.

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Bondar', A.V., Luk'yanova, E.A. On pseudoanalyticity of continuous functions with constant σ-extension. Ukr Math J 45, 490–496 (1993). https://doi.org/10.1007/BF01062944

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  • DOI: https://doi.org/10.1007/BF01062944

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