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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 78, Issue 1, Pages 231–251
DOI: https://doi.org/10.1070/SM1994v078n01ABEH003467 (Mi sm967) 		 
This article is cited in 25 scientific papers (total in 25 papers)

$C^m$-approximations by harmonic polynomials on compact sets in $\mathbb R^n$

P. V. Paramonov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (1209 kB) Citations (25)
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DOI: https://doi.org/10.1070/SM1994v078n01ABEH003467
Abstract: Conditions for approximation of functions by harmonic polynomials on compact sets $X$ in $\mathbb R^n$ $(n = 2,3,\dots)$ in Whitney type norms on the spaces $C_{\mathrm{jet}}^m(X)$ $(m\geqslant 0)$ are studied in this paper.
Received: 22.06.1992
Russian version:
Matematicheskii Sbornik, 1993, Volume 184, Number 2, Pages 105–128
Bibliographic databases:
UDC: 517.5
MSC: 41A10, 41A63
Language: English
Original paper language: Russian
Citation: P. V. Paramonov, “$C^m$-approximations by harmonic polynomials on compact sets in $\mathbb R^n$”, Mat. Sb., 184:2 (1993), 105–128; Russian Acad. Sci. Sb. Math., 78:1 (1994), 231–251
Citation in format AMSBIB
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\by P.~V.~Paramonov
\paper $C^m$-approximations by harmonic polynomials on compact sets in~$\mathbb R^n$
\jour Mat. Sb.
\yr 1993
\vol 184
\issue 2
\pages 105--128
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1214947}
\zmath{https://zbmath.org/?q=an:0851.41029}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 78
\issue 1
\pages 231--251
\crossref{https://doi.org/10.1070/SM1994v078n01ABEH003467}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NR97600015}
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  • https://doi.org/10.1070/SM1994v078n01ABEH003467
  • https://www.mathnet.ru/eng/sm/v184/i2/p105
    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:145
    English version PDF:26
    References:74
    First page:1
     
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