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On the structure of sets of σ-monogeneity for continuous functions

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Ukrainian Mathematical Journal Aims and scope

Abstract

The notion of the sets of σ-monogeneity for continuous functions is introduced which makes it possible to study pseudo-analytic properties of these functions. The theorem on the structure of these sets is proved.

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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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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 2, pp. 226–232, February, 1993.

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Bondar', A.V., Luk'yanova, E.A. On the structure of sets of σ-monogeneity for continuous functions. Ukr Math J 45, 241–248 (1993). https://doi.org/10.1007/BF01060979

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  • DOI: https://doi.org/10.1007/BF01060979

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