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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 1, Pages 135–146 (Mi timm210)  

This article is cited in 12 scientific papers (total in 12 papers)

2-adic wavelet bases

S. A. Evdokimova, M. A. Skopinab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
References:
Abstract: Within the theory of multiresolution analysis, a method of constructing 2-adic wavelet systems that form Riesz bases in $L^2(\mathbb Q_2)$ is developed. An implementation of this method for some infinite family of multiresolution analyses leading to nonorthogonal Riesz bases is presented.
Keywords: 2-adic wavelets, multiresolution analysis, scaling function, Riesz base.
Received: 17.03.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 266, Issue 1, Pages S143–S154
DOI: https://doi.org/10.1134/S008154380906011X
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. A. Evdokimov, M. A. Skopina, “2-adic wavelet bases”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 1, 2009, 135–146; Proc. Steklov Inst. Math. (Suppl.), 266, suppl. 1 (2009), S143–S154
Citation in format AMSBIB
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\by S.~A.~Evdokimov, M.~A.~Skopina
\paper 2-adic wavelet bases
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 1
\pages 135--146
\mathnet{http://mi.mathnet.ru/timm210}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2728961}
\elib{https://elibrary.ru/item.asp?id=11929783}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 266
\issue , suppl. 1
\pages S143--S154
\crossref{https://doi.org/10.1134/S008154380906011X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000268192700011}
Linking options:
  • https://www.mathnet.ru/eng/timm210
  • https://www.mathnet.ru/eng/timm/v15/i1/p135
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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