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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012 Number 6, Pages 3–8 (Mi vmumm538)

This article is cited in 1 paper

Mathematics

Examples of divergent Fourier series for a wide class of rearranged Walsh–Paley system

I. V. Polyakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A rearranged Walsh system is considered in the paper. An example of a Fourier series from the class $Lo(\sqrt{\ln^{+}})L$ divergent almost everywhere is constructed.

Key words: Fourier series, Walsh system, Shipp's rearrangements of Walsh system, divergence almost everywhere.

UDC: 517.5

Received: 25.10.2010


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2013, 68:1, 1–6

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