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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 31–60 (Mi znsl4641)  
This article is cited in 3 scientific papers (total in 3 papers)

Nonsmooth spline-wavelet decompositions and their properties

Yu. K. Dem'yanovich

Saint-Petersburg State University, St. Petersburg, Russia
Full-text PDF (698 kB) Citations (3)
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Abstract: Simple methods for constructing embedded spaces of splines (in general, nonsmooth and nonpolynomial) of the first order corresponding to local coarsening of an irregular mesh are provided, their wavelet decompositions are presented, and the commutativity of the decomposition operators is established.
Key words and phrases: wavelets, splines, decomposition, approximation relations, calibration relations, reconstruction.
Received: 12.10.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 761–778
DOI: https://doi.org/10.1007/s10958-012-0782-7
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: Yu. K. Dem'yanovich, “Nonsmooth spline-wavelet decompositions and their properties”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 31–60; J. Math. Sci. (N. Y.), 182:6 (2012), 761–778
Citation in format AMSBIB
\Bibitem{Dem11}
\by Yu.~K.~Dem'yanovich
\paper Nonsmooth spline-wavelet decompositions and their properties
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 31--60
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4641}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870159}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 761--778
\crossref{https://doi.org/10.1007/s10958-012-0782-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861768358}
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  • https://www.mathnet.ru/eng/znsl/v395/p31
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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