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Mathematics of the USSR-Sbornik, 1981, Volume 39, Issue 4, Pages 501–518
DOI: https://doi.org/10.1070/SM1981v039n04ABEH001629 (Mi sm2658) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On some questions connected with the problem of existence of automorphic analytic functions with given modulus of boundary values

M. V. Samokhin
English version PDF (1314 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM1981v039n04ABEH001629
Abstract: For an arbitrary region $D$ in the extended plane it is shown that the possibility of constructing automorphic analytic functions with given modulus of boundary values on the universal covering surface of $D$ is a local property of the boundary of $D$ and is equivalent to the possibility of giving a good description of the extremals for a rather large class of problems in this region.
Bibliography: 12 titles.
Received: 19.03.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 111(153), Number 4, Pages 557–578
Bibliographic databases:
UDC: 517.53
MSC: Primary 30F35, 30E25; Secondary 30H05, 30D40
Language: English
Original paper language: Russian
Citation: M. V. Samokhin, “On some questions connected with the problem of existence of automorphic analytic functions with given modulus of boundary values”, Mat. Sb. (N.S.), 111(153):4 (1980), 557–578; Math. USSR-Sb., 39:4 (1981), 501–518
Citation in format AMSBIB
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\by M.~V.~Samokhin
\paper On some questions connected with the problem of existence of automorphic analytic functions with given modulus of boundary values
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 111(153)
\issue 4
\pages 557--578
\mathnet{http://mi.mathnet.ru/sm2658}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=571984}
\zmath{https://zbmath.org/?q=an:0458.30021|0434.30023}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 39
\issue 4
\pages 501--518
\crossref{https://doi.org/10.1070/SM1981v039n04ABEH001629}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981ML42400005}
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  • https://doi.org/10.1070/SM1981v039n04ABEH001629
  • https://www.mathnet.ru/eng/sm/v153/i4/p557
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:188
    Russian version PDF:64
    English version PDF:2
    References:39
     
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