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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 334, Pages 84–110 (Mi znsl225)  
This article is cited in 1 scientific paper (total in 1 paper)

Local wavelet basis for an irregular grid

Yu. K. Dem'yanovich

Saint-Petersburg State University
Full-text PDF (281 kB) Citations (1)
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Abstract: The spaces of $\mathcal B_\varphi$-splines are proved to be embedded for an arbitrary grid refinement; the direct (wavelet) decomposition for chains of embedded spaces of $\mathcal B_\varphi$-splines on a sequence of refined irregular grids is discussed; a wavelet basis of functions with compact supports is constructed; formulas of decomposition and reconstruction are provided. Simple solutions of certain interpolation problems in the spaces considered are suggested. Examples of the spline spaces are presented.
Received: 05.09.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 6, Pages 1618–1632
DOI: https://doi.org/10.1007/s10958-007-0071-z
Bibliographic databases:
UDC: 518
Language: Russian
Citation: Yu. K. Dem'yanovich, “Local wavelet basis for an irregular grid”, Computational methods and algorithms. Part XIX, Zap. Nauchn. Sem. POMI, 334, POMI, St. Petersburg, 2006, 84–110; J. Math. Sci. (N. Y.), 141:6 (2007), 1618–1632
Citation in format AMSBIB
\Bibitem{Dem06}
\by Yu.~K.~Dem'yanovich
\paper Local wavelet basis for an irregular grid
\inbook Computational methods and algorithms. Part~XIX
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 334
\pages 84--110
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl225}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270910}
\zmath{https://zbmath.org/?q=an:1124.42023}
\elib{https://elibrary.ru/item.asp?id=9304142}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 141
\issue 6
\pages 1618--1632
\crossref{https://doi.org/10.1007/s10958-007-0071-z}
\elib{https://elibrary.ru/item.asp?id=13556533}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33847004436}
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  • https://www.mathnet.ru/eng/znsl/v334/p84
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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