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Matematicheskie Zametki, 1971, Volume 10, Issue 6, Pages 627–634 (Mi mzm9741)  
This article is cited in 1 scientific paper (total in 1 paper)

Relation between approximations in the mean for analytic and for harmonic functions

F. S. Lisin

New Moscow Department of the Moscow Chemical Technological Institute
Full-text PDF (811 kB) Citations (1)
Abstract: It is shown that the completeness of the analytic polynomials always follows from the completeness of the harmonic polynomials in the case of mean-square weighted approximation over a bounded region.
Received: 30.03.1970
English version:
Mathematical Notes, 1971, Volume 10, Issue 6, Pages 807–811
DOI: https://doi.org/10.1007/BF01146437
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: F. S. Lisin, “Relation between approximations in the mean for analytic and for harmonic functions”, Mat. Zametki, 10:6 (1971), 627–634; Math. Notes, 10:6 (1971), 807–811
Citation in format AMSBIB
\Bibitem{Lis71}
\by F.~S.~Lisin
\paper Relation between approximations in the mean for analytic and for harmonic functions
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 6
\pages 627--634
\mathnet{http://mi.mathnet.ru/mzm9741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=291473}
\zmath{https://zbmath.org/?q=an:0239.30042}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 6
\pages 807--811
\crossref{https://doi.org/10.1007/BF01146437}
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  • https://www.mathnet.ru/eng/mzm/v10/i6/p627
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :50
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