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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 3, Pages 579–586
DOI: https://doi.org/10.1070/IM1972v006n03ABEH001891
(Mi im2314)
 

This article is cited in 5 scientific papers (total in 5 papers)

On biorthogonal expansions in exponential functions

A. M. Sedletskii
References:
Abstract: An equiconvergence theorem for nonharmonic Fourier series of the form $\sum a_ne^{i\lambda_nx}$ and ordinary Fourier series is proved for functions in $L^p(-\pi,\pi)$, $p>1$, when the exponents $\{\lambda_n\}$ are the roots of a member of a certain class of entire functions.
Received: 27.04.1971
Bibliographic databases:
UDC: 517.5
MSC: Primary 42A20, 42A60; Secondary 42A72
Language: English
Original paper language: Russian
Citation: A. M. Sedletskii, “On biorthogonal expansions in exponential functions”, Math. USSR-Izv., 6:3 (1972), 579–586
Citation in format AMSBIB
\Bibitem{Sed72}
\by A.~M.~Sedletskii
\paper On biorthogonal expansions in exponential functions
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 3
\pages 579--586
\mathnet{http://mi.mathnet.ru//eng/im2314}
\crossref{https://doi.org/10.1070/IM1972v006n03ABEH001891}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0324301}
\zmath{https://zbmath.org/?q=an:0242.42015}
Linking options:
  • https://www.mathnet.ru/eng/im2314
  • https://doi.org/10.1070/IM1972v006n03ABEH001891
  • https://www.mathnet.ru/eng/im/v36/i3/p583
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:502
    Russian version PDF:112
    English version PDF:13
    References:75
    First page:1
     
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