Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 1, Pages 11–19 (Mi vmumm4)  
Mathematics

Generalized double Fourier sine-series

K. A. Oganesyan

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The paper is focused on studies of connections between the integrability of two-variable function near the origin and the behavior of its generalized Fourier sine-series. This problem has direct relevance to the issues of asymptotic behavior of Fourier series with monotone coefficients in a neighborhood of zero.
Key words: functions of two variables, nonintegrable functions, generalized Fourier series.
Received: 05.04.2017
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 1, Pages 9–16
DOI: https://doi.org/10.3103/S0027132218010023
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: K. A. Oganesyan, “Generalized double Fourier sine-series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 1, 11–19; Moscow University Mathematics Bulletin, 73:1 (2018), 9–16
Citation in format AMSBIB
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