Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 6, Pages 9–12 (Mi vmumm822)  
Mathematics

Example of divergent Fourier series over rearranged Walsh–Paley system

I. V. Polyakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (229 kB)
Abstract: A specially chosen class of Shipp's rearrangements of the Walsh system is considered in the paper. An example of a Fourier series from the class $L(\ln^{+}\ln^{+})^{1-\epsilon}L$ divergent almost everywhere is conctructed for the systems obtained here.
Key words: Fourier series, Walsh system, rearranged Walsh system, Shipp's rearrangments of Walsh system, divergence almost everywhere.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-3252.2010.1
Russian Foundation for Basic Research 08-01-00669
Received: 26.06.2009
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. V. Polyakov, “Example of divergent Fourier series over rearranged Walsh–Paley system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 6, 9–12
Citation in format AMSBIB
\Bibitem{Pol10}
\by I.~V.~Polyakov
\paper Example of divergent Fourier series over rearranged Walsh--Paley system
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 6
\pages 9--12
\mathnet{http://mi.mathnet.ru/vmumm822}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814983}
\zmath{https://zbmath.org/?q=an:1304.42070}
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