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Matematicheskie Zametki, 2001, Volume 69, Issue 2, Pages 245–261
DOI: https://doi.org/10.4213/mzm500
(Mi mzm500)
 

This article is cited in 6 scientific papers (total in 6 papers)

Uniform Approximation of Functions Continuous on a Compact Subset of $\mathbb C$ and Analytic in Its Interior by Functions Bianalytic in Its Neighborhoods

M. Ya. Mazalov

Military Academy of Air Defence Forces of Russia Federation
Full-text PDF (301 kB) Citations (6)
References:
Abstract: We prove that an arbitrary function continuous on a compact set $X\subset\mathbb C$ and holomorphic in the interior of $X$ can be approximated by functions bianalytic in neighborhoods of $X$ with arbitrary accuracy.
Received: 19.06.2000
Revised: 09.08.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 2, Pages 216–231
DOI: https://doi.org/10.1023/A:1002876419788
Bibliographic databases:
UDC: 517
Language: Russian
Citation: M. Ya. Mazalov, “Uniform Approximation of Functions Continuous on a Compact Subset of $\mathbb C$ and Analytic in Its Interior by Functions Bianalytic in Its Neighborhoods”, Mat. Zametki, 69:2 (2001), 245–261; Math. Notes, 69:2 (2001), 216–231
Citation in format AMSBIB
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\by M.~Ya.~Mazalov
\paper Uniform Approximation of Functions Continuous on a Compact Subset of $\mathbb C$ and Analytic in Its Interior by Functions Bianalytic in Its Neighborhoods
\jour Mat. Zametki
\yr 2001
\vol 69
\issue 2
\pages 245--261
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\crossref{https://doi.org/10.4213/mzm500}
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\zmath{https://zbmath.org/?q=an:1005.30026}
\elib{https://elibrary.ru/item.asp?id=13361641}
\transl
\jour Math. Notes
\yr 2001
\vol 69
\issue 2
\pages 216--231
\crossref{https://doi.org/10.1023/A:1002876419788}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000168619500023}
Linking options:
  • https://www.mathnet.ru/eng/mzm500
  • https://doi.org/10.4213/mzm500
  • https://www.mathnet.ru/eng/mzm/v69/i2/p245
  • This publication is cited in the following 6 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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    Abstract page:487
    Full-text PDF :203
    References:66
    First page:2
     
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