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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)
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DOI: https://doi.org/10.4213/mzm500
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
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\issue 2
\pages 245--261
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\transl
\jour Math. Notes
\yr 2001
\vol 69
\issue 2
\pages 216--231
\crossref{https://doi.org/10.1023/A:1002876419788}
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    • 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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    Full-text PDF :205
    References:69
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