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Mathematics of the USSR-Sbornik, 1991, Volume 70, Issue 2, Pages 541–555
DOI: https://doi.org/10.1070/SM1991v070n02ABEH001385 (Mi sm1210) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Change of variable and the rapidity of decrease of Fourier coefficients

V. V. Lebedev

Moscow Institute of Electronic Engineering
English version PDF (657 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1991v070n02ABEH001385
Abstract: We consider the class $C(T)$ of continuous real-valued functions on the circle. We investigate the possibility of carrying, by a simultaneous change of variable, families of functions in $C(T)$ to classes of functions selected in a natural way for the rapidity of decrease of their Fourier coefficients.
Received: 22.06.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 8, Pages 1099–1113
Bibliographic databases:
UDC: 517.51
MSC: 42A16
Language: English
Original paper language: Russian
Citation: V. V. Lebedev, “Change of variable and the rapidity of decrease of Fourier coefficients”, Mat. Sb., 181:8 (1990), 1099–1113; Math. USSR-Sb., 70:2 (1991), 541–555
Citation in format AMSBIB
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\by V.~V.~Lebedev
\paper Change of variable and the rapidity of decrease of Fourier coefficients
\jour Mat. Sb.
\yr 1990
\vol 181
\issue 8
\pages 1099--1113
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991SbMat..70..541L}
\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 2
\pages 541--555
\crossref{https://doi.org/10.1070/SM1991v070n02ABEH001385}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GQ42500012}
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  • https://doi.org/10.1070/SM1991v070n02ABEH001385
  • https://www.mathnet.ru/eng/sm/v181/i8/p1099
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:666
    Russian version PDF:248
    English version PDF:25
    References:73
    First page:1
     
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