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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 346, Pages 26–38 (Mi znsl85)  
This article is cited in 2 scientific papers (total in 2 papers)

Wavelet decompositions on a manifold

Yu. K. Dem'yanovich, A. V. Zimin

Saint-Petersburg State University
Full-text PDF (214 kB) Citations (2)
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Abstract: A general method for constructing chains of embedded spline spaces on a smooth (not necessarily compact) manifold is suggested. A wavelet decomposition is obtained for the case of an arbitrary vector space. The results are illustrated by constructing a wavelet decompositon of a chain of embedded spaces of $B_\varphi$-splines of zero order on a smooth manifold.
Received: 01.12.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 150, Issue 2, Pages 1929–1936
DOI: https://doi.org/10.1007/s10958-008-0107-z
Bibliographic databases:
UDC: 519
Language: Russian
Citation: Yu. K. Dem'yanovich, A. V. Zimin, “Wavelet decompositions on a manifold”, Computational methods and algorithms. Part XX, Zap. Nauchn. Sem. POMI, 346, POMI, St. Petersburg, 2007, 26–38; J. Math. Sci. (N. Y.), 150:2 (2008), 1929–1936
Citation in format AMSBIB
\Bibitem{DemZim07}
\by Yu.~K.~Dem'yanovich, A.~V.~Zimin
\paper Wavelet decompositions on a~manifold
\inbook Computational methods and algorithms. Part~XX
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 346
\pages 26--38
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl85}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2469439}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 150
\issue 2
\pages 1929--1936
\crossref{https://doi.org/10.1007/s10958-008-0107-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41149131285}
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  • https://www.mathnet.ru/eng/znsl/v346/p26
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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