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On the absolute convergence of power series

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Ukrainian Mathematical Journal Aims and scope

Abstract

We obtain a two-dimensional analog of the Hardy-Littlewood result on the absolute convergence of power series in the case of multiple series on the boundary of a unit polydisk.

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References

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Authors and Affiliations

  1. Volyn University, Lutsk

    S. B. Hembars'ka

  2. Ukrainian State Academy of Light Industry, Kiev

    P. V. Zaderei

Authors
  1. S. B. Hembars'ka
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  2. P. V. Zaderei
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 5, pp. 594–602, May, 1999.

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Hembars'ka, S.B., Zaderei, P.V. On the absolute convergence of power series. Ukr Math J 51, 662–671 (1999). https://doi.org/10.1007/BF02591703

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  • DOI: https://doi.org/10.1007/BF02591703

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