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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 136–151 (Mi timm1237)  

This article is cited in 1 scientific paper (total in 1 paper)

Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem

G. A. Dubosarskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (231 kB) Citations (1)
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Abstract: We construct harmonic wavelets and give a bound for the convergence rate of their partial sums in the spaces of harmonic functions introduced in the paper. These wavelets can be used for the solution of the Neumann problem.
Keywords: Neumann problem, harmonic wavelets, basis of spaces of harmonic functions.
Received: 10.10.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 296, Issue 1, Pages 128–144
DOI: https://doi.org/10.1134/S0081543817020122
Bibliographic databases:
Document Type: Article
UDC: 517.538.2
Language: Russian
Citation: G. A. Dubosarskii, “Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 136–151; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 128–144
Citation in format AMSBIB
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\by G.~A.~Dubosarskii
\paper Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 136--151
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468438}
\elib{https://elibrary.ru/item.asp?id=25300993}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 296
\issue , suppl. 1
\pages 128--144
\crossref{https://doi.org/10.1134/S0081543817020122}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403678000012}
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  • https://www.mathnet.ru/eng/timm/v21/i4/p136
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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