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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 3, Pages 665–676
DOI: https://doi.org/10.1070/IM1977v011n03ABEH001740 (Mi im1859) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the rate of approach to zero of the coefficients of null series in the Haar and Walsh systems

V. A. Skvortsov
English version PDF (447 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1977v011n03ABEH001740
Abstract: The existence of null series in the Haar system with coefficients approaching zero at any prescribed rate admissible for such series is proved, and a class of null series in the Walsh system with coefficients tending to zero sufficiently rapidly is also constructed. It is proved that the series of squares of coefficients of a null series in the Walsh system may diverge arbitrarily slowly.
Bibliography: 6 titles.
Received: 17.02.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 3, Pages 703–716
Bibliographic databases:
UDC: 517.5
MSC: 42A56, 42A20
Language: English
Original paper language: Russian
Citation: V. A. Skvortsov, “On the rate of approach to zero of the coefficients of null series in the Haar and Walsh systems”, Izv. Akad. Nauk SSSR Ser. Mat., 41:3 (1977), 703–716; Math. USSR-Izv., 11:3 (1977), 665–676
Citation in format AMSBIB
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\by V.~A.~Skvortsov
\paper On the rate of approach to zero of the coefficients of null series in the Haar and Walsh systems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 3
\pages 703--716
\mathnet{http://mi.mathnet.ru/im1859}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487244}
\zmath{https://zbmath.org/?q=an:0376.42012|0384.42012}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 3
\pages 665--676
\crossref{https://doi.org/10.1070/IM1977v011n03ABEH001740}
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  • https://www.mathnet.ru/eng/im/v41/i3/p703
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:458
    Russian version PDF:158
    English version PDF:15
    References:62
    First page:3
     
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