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Generalized Double Fourier Sine Series

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Abstract

The paper is focused on studies of connections between the integrability of a two-variable function near the origin and the behavior of its generalized Fourier sine series. This problem has direct relevance to issues of asymptotic behavior of Fourier series with monotone coefficients in a neighborhood of the origin.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow State University, Moscow, 119991, Russia

    K. A. Oganesyan

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  1. K. A. Oganesyan
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Correspondence to K. A. Oganesyan.

Additional information

Original Russian Text © K.A. Oganesyan. 2018. published in Vestnik Moskouskogo Universiteta. Matematika. Mekhanika. 2018. Vol. 73, No. 1, pp. 11-19.

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Oganesyan, K.A. Generalized Double Fourier Sine Series. Moscow Univ. Math. Bull. 73, 9–16 (2018). https://doi.org/10.3103/S0027132218010023

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  • DOI: https://doi.org/10.3103/S0027132218010023

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