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Sbornik: Mathematics, 2010, Volume 201, Issue 5, Pages 735–757
DOI: https://doi.org/10.1070/SM2010v201n05ABEH004090 (Mi sm7593) 		 
Existence of boundary values of polyharmonic functions

V. P. Mikhailov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (335 kB) Russian version article
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DOI: https://doi.org/10.1070/SM2010v201n05ABEH004090
Abstract: A necessary and sufficient condition for the existence of a limit in mean square at the boundary is established for a polyharmonic function in a ball.
Bibliography: 15 titles.
Keywords: polyharmonic function, boundary value, spherical harmonic, solid spherical harmonic.
Received: 23.06.2009
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 31A30, 35J67
Language: English
Original paper language: Russian
Citation: V. P. Mikhailov, “Existence of boundary values of polyharmonic functions”, Sb. Math., 201:5 (2010), 735–757
Citation in format AMSBIB
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\paper Existence of boundary values of polyharmonic functions
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\yr 2010
\vol 201
\issue 5
\pages 735--757
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:470
    Russian version PDF:194
    English version PDF:6
    References:47
    First page:12
     
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