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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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