Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl85
  • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:231
    Full-text PDF :58
    References:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024