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Izv. Akad. Nauk SSSR Ser. Mat., 1979, Volume 43, Issue 5, Pages 1025–1041 (Mi izv1746)  

This article is cited in 3 scientific papers (total in 3 papers)

Rearrangements of Fourier–Walsh series

S. V. Bochkarev


Abstract: In this paper a method of rearranging Fourier–Walsh series is proposed that yields an essentially stronger estimate than previously known on a Weyl multiplier for unconditional convergence almost everywhere. The question of unconditional convergence almost everywhere of Fourier–Walsh series of $H^\omega$-functions is also studied.
Bibliography: 8 titles.

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English version:
Mathematics of the USSR-Izvestiya, 1980, 15:2, 259–275

Bibliographic databases:

UDC: 517.5
MSC: Primary 42C20, 42A45; Secondary 42C10
Received: 23.01.1979

Citation: S. V. Bochkarev, “Rearrangements of Fourier–Walsh series”, Izv. Akad. Nauk SSSR Ser. Mat., 43:5 (1979), 1025–1041; Math. USSR-Izv., 15:2 (1980), 259–275

Citation in format AMSBIB
\Bibitem{Boc79}
\by S.~V.~Bochkarev
\paper Rearrangements of Fourier--Walsh series
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1979
\vol 43
\issue 5
\pages 1025--1041
\mathnet{http://mi.mathnet.ru/izv1746}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=552550}
\zmath{https://zbmath.org/?q=an:0444.42013|0423.42017}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1980IzMat..15..259B}
\transl
\jour Math. USSR-Izv.
\yr 1980
\vol 15
\issue 2
\pages 259--275
\crossref{https://doi.org/10.1070/IM1980v015n02ABEH001226}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1980LD11600003}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. P. L. Ul'yanov, “Kolmogorov and divergent Fourier series”, Russian Math. Surveys, 38:4 (1983), 57–100  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. P. L. Ul'yanov, “Development of D. E. Men'shov's results in the theory of orthogonal series”, Russian Math. Surveys, 47:5 (1992), 49–70  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. S. V. Bochkarev, “Everywhere divergent Fourier series with respect to the Walsh system and with respect to multiplicative systems”, Russian Math. Surveys, 59:1 (2004), 103–124  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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