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Izvestiya: Mathematics, 2000, Volume 64, Issue 3, Pages 583–600
DOI: https://doi.org/10.1070/im2000v064n03ABEH000292
(Mi im292)
 

This article is cited in 7 scientific papers (total in 7 papers)

On the summability and convergence of non-harmonic Fourier series

A. M. Sedletskii
References:
Abstract: We consider systems of exponentials that are orthogonal to measures dσ of a special form on (a,a). Under certain conditions on the summation method, these systems form summation bases Lp(a,a) and in C0 (the subspace of C[a,a] orthogonal to dσ). With respect to these systems, Lipschitzian functions in C0 are expanded into non-harmonic Fourier series that converge uniformly on [a,a].
Received: 03.11.1998
Bibliographic databases:
MSC: 42C15
Language: English
Original paper language: Russian
Citation: A. M. Sedletskii, “On the summability and convergence of non-harmonic Fourier series”, Izv. Math., 64:3 (2000), 583–600
Citation in format AMSBIB
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\by A.~M.~Sedletskii
\paper On the summability and convergence of non-harmonic Fourier series
\jour Izv. Math.
\yr 2000
\vol 64
\issue 3
\pages 583--600
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\crossref{https://doi.org/10.1070/im2000v064n03ABEH000292}
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Linking options:
  • https://www.mathnet.ru/eng/im292
  • https://doi.org/10.1070/im2000v064n03ABEH000292
  • https://www.mathnet.ru/eng/im/v64/i3/p151
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:655
    Russian version PDF:280
    English version PDF:35
    References:99
    First page:1
     
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