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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 1, Pages 99–114 (Mi timm903)  
This article is cited in 3 scientific papers (total in 3 papers)

Harmonic wavelets in a multiply connected domain with circular boundaries

G. A. Dubosarskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (242 kB) Citations (3)
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Abstract: A new approach to the solution of the Schwarz and Dirichlet problems in a domain with circular components of the boundary is proposed. The convergence rate is studied for the series that represent a solution in spaces of Hardy type and converge uniformly for smooth boundary values. Examples of functions for which the constructed series diverge are presented. Harmonic wavelets are constructed such that series in these wavelets converge for all functions from the considered spaces.
Keywords: Schwarz problem, Dirichlet problem, harmonic wavelets, basis in spaces of harmonic functions.
Received: 15.09.2012
Bibliographic databases:
Document Type: Article
UDC: 517.538.2
Language: Russian
Citation: G. A. Dubosarskii, “Harmonic wavelets in a multiply connected domain with circular boundaries”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 99–114
Citation in format AMSBIB
\Bibitem{Dub13}
\by G.~A.~Dubosarskii
\paper Harmonic wavelets in a~multiply connected domain with circular boundaries
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 1
\pages 99--114
\mathnet{http://mi.mathnet.ru/timm903}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408365}
\elib{https://elibrary.ru/item.asp?id=18839269}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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