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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 2, Pages 109–124 (Mi timm937)  
This article is cited in 2 scientific papers (total in 2 papers)

Harmonic wavelets in a multiply connected domain with circular boundaries and their applications to problems of mathematical physics

G. A. Dubosarskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (242 kB) Citations (2)
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Abstract: Wavelet bases convenient for solving the Schwarz, Dirichlet, and Neumann problems in a domain with circular components of the boundary are constructed. Wavelet series converge uniformly in spaces of Hardy type. The construction of wavelets is based on a special system of harmonic rational functions to which either the Gram–Schmidt orthogonalization with respect to a special scalar product or its modification was applied.
Keywords: Schwarz problem, Dirichlet problem, Neumann problem, harmonic wavelets, basis in spaces of harmonic functions.
Received: 03.02.2013
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 and their applications to problems of mathematical physics”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 109–124
Citation in format AMSBIB
\Bibitem{Dub13}
\by G.~A.~Dubosarskii
\paper Harmonic wavelets in a~multiply connected domain with circular boundaries and their applications to problems of mathematical physics
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 2
\pages 109--124
\mathnet{http://mi.mathnet.ru/timm937}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3363378}
\elib{https://elibrary.ru/item.asp?id=19053973}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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