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Sbornik: Mathematics, 2004, Volume 195, Issue 5, Pages 687–709
DOI: https://doi.org/10.1070/SM2004v195n05ABEH000822
(Mi sm822)
 

This article is cited in 23 scientific papers (total in 23 papers)

Uniform approximations by bianalytic functions on arbitrary compact subsets of $\mathbb C$

M. Ya. Mazalov

Military Academy of Air Defence Forces of Russia Federation
References:
Abstract: Each continuous function on an arbitrary compact subset $X$ of $\mathbb C$ that is bianalytic in the interior of $X$ is proved to be uniformly approximable on $X$ by functions bianalytic in neighbourhoods of $X$.
Received: 20.10.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 5, Pages 79–102
DOI: https://doi.org/10.4213/sm822
Bibliographic databases:
UDC: 517.538.5+517.956.2
MSC: 30E10, 31A30
Language: English
Original paper language: Russian
Citation: M. Ya. Mazalov, “Uniform approximations by bianalytic functions on arbitrary compact subsets of $\mathbb C$”, Mat. Sb., 195:5 (2004), 79–102; Sb. Math., 195:5 (2004), 687–709
Citation in format AMSBIB
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\paper Uniform approximations by bianalytic functions on arbitrary compact subsets of~$\mathbb C$
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\pages 79--102
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Linking options:
  • https://www.mathnet.ru/eng/sm822
  • https://doi.org/10.1070/SM2004v195n05ABEH000822
  • https://www.mathnet.ru/eng/sm/v195/i5/p79
  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:377
    Russian version PDF:211
    English version PDF:7
    References:34
    First page:1
     
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