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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015 Number 6, Pages 14–22 (Mi vmumm277)

This article is cited in 1 paper

Mathematics

Asymptotics of multiple trigonometric series with monotone coefficients

A. Zh. Ydyrys

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper describes a general method of determination of the asymptotic behavior near zero of multiple trigonometric series whose coefficients possess certain monotonicity conditions.

Key words: multiple series, sum of multiple series with monotone coefficients.

UDC: 517.518.47

Received: 15.10.2014


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2015, 70:6, 253–260

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