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Sbornik: Mathematics, 2009, Volume 200, Issue 10, Pages 1473–1493
DOI: https://doi.org/10.1070/SM2009v200n10ABEH004046 (Mi sm7533) 		 
This article is cited in 12 scientific papers (total in 12 papers)

The Dirichlet problem for polyanalytic functions

M. Ya. Mazalov

Military Academy of Air Defence Forces of Russia Federation named after A. M. Vasilevskii
English version PDF (346 kB) Citations (12)
References:
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DOI: https://doi.org/10.1070/SM2009v200n10ABEH004046
Abstract: Connections between the boundary behaviour of polyanalytic functions and the structure of the boundary are investigated. In particular, a Jordan domain with Lipschitz boundary is constructed which is regular for the Dirichlet problem in the class of bianalytic functions.
Bibliography: 14 titles.
Keywords: polyanalytic functions, boundary properties, Luzin-Privalov construction, univalent functions, lacunary series, Rudin-Carleson theorem.
Received: 03.02.2009
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 10, Pages 59–80
DOI: https://doi.org/10.4213/sm7533
Bibliographic databases:
UDC: 517.538.5+517.956.2
MSC: 30D60
Language: English
Original paper language: Russian
Citation: M. Ya. Mazalov, “The Dirichlet problem for polyanalytic functions”, Mat. Sb., 200:10 (2009), 59–80; Sb. Math., 200:10 (2009), 1473–1493
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v200/i10/p59
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:1028
    Russian version PDF:219
    English version PDF:8
    References:85
    First page:20
     
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