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Limiting functions of series of functions

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Abstract

A series with a given set of limit functions is constructed. A theorem proved by Besicovich concerning conditionally convergent series is strengthened.

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Literature cited

  1. A. S. Besicovitch, “On rearrangements of conditionally convergent series,” J. of London Math. Soc.,28, N 112, 480–483 (1953).

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  2. P. L. Ul'yanov, “Strongly unconditionally convergent series,” Izv. AN SSSR.Ser. Matem,24, 75–92 (1960).

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Authors and Affiliations

  1. Erevan State University, USSR

    F. A. Talalyan

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  1. F. A. Talalyan
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Translated from Matematicheskie Zametki, Vol. 10, No. 1, pp. 25–32, July. 1970.

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Talalyan, F.A. Limiting functions of series of functions. Mathematical Notes of the Academy of Sciences of the USSR 10, 439–443 (1971). https://doi.org/10.1007/BF01747066

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  • DOI: https://doi.org/10.1007/BF01747066

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