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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 22 scientific papers (total in 22 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
English version PDF (231 kB) Citations (22)
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DOI: https://doi.org/10.1070/IM2004v068n03ABEH000484
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 3, Pages 15–28
DOI: https://doi.org/10.4213/im484
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. RAN. Ser. Mat., 68:3 (2004), 15–28; Izv. Math., 68:3 (2004), 447–459
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:225
    English version PDF:4
    References:53
    First page:1
     
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