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

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.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation -979.2012.1
Russian Foundation for Basic Research 11-01-00321


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

Bibliographic databases:

UDC: 517.5
Received: 25.10.2010

Citation: I. V. Polyakov, “Examples of divergent Fourier series for a wide class of rearranged Walsh–Paley system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 6, 3–8; Moscow University Mathematics Bulletin, 68:1 (2013), 1–6

Citation in format AMSBIB
\Bibitem{Pol12}
\by I.~V.~Polyakov
\paper Examples of divergent Fourier series for a wide class of rearranged Walsh--Paley system
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 6
\pages 3--8
\mathnet{http://mi.mathnet.ru/vmumm538}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 1
\pages 1--6
\crossref{https://doi.org/10.3103/S0027132213010014}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874969972}


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