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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019 Number 5, Pages 42–44 (Mi vmumm3625)

This article is cited in 2 papers

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Some convergence tests for Fourier series with respect to Vilenkin system in the case of unbounded $p_k$

S. M. Voronov

D. Mendeleev University of Chemical Technology of Russia

Abstract: Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. A generalization of the analogue of Dini test and its corollary obtained earlier for systems determined by bounded sequencees $\{p_k\}$ are proved.

Key words: zero-dimensional group, characters of a group, Fourier series, Dini test, Vilenkin system.

UDC: 517.518.43

Received: 24.09.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2019, 74:5, 195–197

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