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Izvestiya: Mathematics, 2004, Volume 68, Issue 3, Pages 447–459
DOI: https://doi.org/10.1070/IM2004v068n03ABEH000484
(Mi im484)
 

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

On uniform approximation by $n$-analytic functions on closed sets in $\mathbb C$

A. Boivina, P. M. Gauthierb, P. V. Paramonovc

a University of Western Ontario, Department of Mathematics
b Université de Montréal
c M. V. Lomonosov Moscow State University
References:
Abstract: Necessary and (or) sufficient conditions on a closed set $F\subset\mathbb{C}$ are given for any function $f$, continuous on $F$ and $n$-analytic on $F^0$, to be the uniform limit on $F$ of a sequence of $n$-analytic entire or $n$-analytic meromorphic functions.
Received: 25.12.2003
Bibliographic databases:
UDC: 517.538.5+517.956.2
MSC: 30E10, 30G30
Language: English
Original paper language: Russian
Citation: A. Boivin, P. M. Gauthier, P. V. Paramonov, “On uniform approximation by $n$-analytic functions on closed sets in $\mathbb C$”, Izv. Math., 68:3 (2004), 447–459
Citation in format AMSBIB
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\by A.~Boivin, P.~M.~Gauthier, P.~V.~Paramonov
\paper On uniform approximation by $n$-analytic functions on closed sets in~$\mathbb C$
\jour Izv. Math.
\yr 2004
\vol 68
\issue 3
\pages 447--459
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Linking options:
  • https://www.mathnet.ru/eng/im484
  • https://doi.org/10.1070/IM2004v068n03ABEH000484
  • https://www.mathnet.ru/eng/im/v68/i3/p15
  • 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
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:556
    Russian version PDF:240
    English version PDF:13
    References:68
    First page:1
     
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