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Absence of absolute summability of the spectral expansions of functions from Nikol'skii's class by Riesz means

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Literature cited

  1. V. A. Il'in, “Problems of localization and convergence for the Fourier series with respect to a fundamental system of functions of the Laplace operator,” Usp. Mat. Nauk,23, No. 2, 61–120 (1968).

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Authors and Affiliations

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

    V. G. Dolgolaptev

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  1. V. G. Dolgolaptev
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Translated from Matematicheskie Zametki, Vol. 36, No. 1, pp. 65–71, July, 1984.

The author thanks Sh. A. Alimov for the formulation of the problem and assistance with the note and the participants of a seminar conducted by V. A. Il'in for useful discussions.

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Dolgolaptev, V.G. Absence of absolute summability of the spectral expansions of functions from Nikol'skii's class by Riesz means. Mathematical Notes of the Academy of Sciences of the USSR 36, 526–530 (1984). https://doi.org/10.1007/BF01139553

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  • DOI: https://doi.org/10.1007/BF01139553

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