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On series with respect to a Schauder system

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Abstract

We establish some statements regarding series with respect to a Schauder system. In particular, we prove a representation theorem and we investigate the behavior of the Fourier coefficients of some classes of functions.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    P. L. Ul'yanov

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  1. P. L. Ul'yanov
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Translated from Matematicheskie Zametki, Vol. 7, No. 4, pp. 431–442, April, 1970.

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Ul'yanov, P.L. On series with respect to a Schauder system. Mathematical Notes of the Academy of Sciences of the USSR 7, 261–268 (1970). https://doi.org/10.1007/BF01151699

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  • DOI: https://doi.org/10.1007/BF01151699

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