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Pseudoanalyticity of continuous functions with the σ-preservation of angles

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Ukrainian Mathematical Journal Aims and scope

Abstract

The following theorem is proved: Every continuous function satisfying the conditionK′ σ is pseudo-analytic. The conditionK′ σ is a generalization of the Men'shov condition, well known in the theory of analytic functions.

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References

  1. A. V. Bondar' and E. A. Luk'yanova, “On the structure of the sets of σ-monogeneity for continuous functions,”Ukr. Mat. Zh.,45, No. 2, 226–232 (1993).

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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. 8, pp. 1051–1057, August, 1993.

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Bondar', A.V., Luk'yanova, E.A. Pseudoanalyticity of continuous functions with the σ-preservation of angles. Ukr Math J 45, 1171–1177 (1993). https://doi.org/10.1007/BF01070963

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  • DOI: https://doi.org/10.1007/BF01070963

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