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Matematicheskie Zametki, 1972, Volume 12, Issue 1, Pages 37–42 (Mi mzm9844)  
This article is cited in 7 scientific papers (total in 7 papers)

A periodic in the mean extension and bases of exponential functions in $L^p(-\pi,\pi)$

A. M. Sedletskii

Moscow Power Institute
Full-text PDF (599 kB) Citations (7)
Abstract: We develop sufficiency conditions for: 1) periodic-in-the-mean extendability of functions from $L^p$; 2) a system of exponential functions to be a basis in $L^p(-\pi,\pi)$.
Received: 26.10.1970
English version:
Mathematical Notes, 1972, Volume 12, Issue 1, Pages 455–458
DOI: https://doi.org/10.1007/BF01094390
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. M. Sedletskii, “A periodic in the mean extension and bases of exponential functions in $L^p(-\pi,\pi)$”, Mat. Zametki, 12:1 (1972), 37–42; Math. Notes, 12:1 (1972), 455–458
Citation in format AMSBIB
\Bibitem{Sed72}
\by A.~M.~Sedletskii
\paper A periodic in the mean extension and bases of exponential functions in $L^p(-\pi,\pi)$
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 1
\pages 37--42
\mathnet{http://mi.mathnet.ru/mzm9844}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=328464}
\zmath{https://zbmath.org/?q=an:0262.42034}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 1
\pages 455--458
\crossref{https://doi.org/10.1007/BF01094390}
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  • https://www.mathnet.ru/eng/mzm/v12/i1/p37
    • 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
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