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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
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
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
Linking options:
https://www.mathnet.ru/eng/im484https://doi.org/10.1070/IM2004v068n03ABEH000484 https://www.mathnet.ru/eng/im/v68/i3/p15
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Abstract page: | 556 | Russian version PDF: | 240 | English version PDF: | 13 | References: | 68 | First page: | 1 |
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