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Sbornik: Mathematics, 2010, Volume 201, Issue 5, Pages 669–691
DOI: https://doi.org/10.1070/SM2010v201n05ABEH004088 (Mi sm7580) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases

S. F. Lukomskii

Saratov State University named after N. G. Chernyshevsky
English version PDF (349 kB) Citations (22) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2010v201n05ABEH004088
Abstract: For a locally compact zero-dimensional group $(G,\mathbin{\dot+})$, we build a multiresolution analysis and put forward an algorithm for constructing orthogonal wavelet bases. A special case is indicated when a wavelet basis is generated from a single function through contractions, translations and exponentiations.
Bibliography: 19 titles.
Keywords: zero-dimensional groups, multiresolution analysis, wavelet bases.
Received: 21.05.2009 and 07.07.2009
Bibliographic databases:
Document Type: Article
UDC: 517.518.34+517.518.36+517.986.62
MSC: Primary 42C40; Secondary 46B15, 42C05, 43A15
Language: English
Original paper language: Russian
Citation: S. F. Lukomskii, “Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases”, Sb. Math., 201:5 (2010), 669–691
Citation in format AMSBIB
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\by S.~F.~Lukomskii
\paper Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases
\jour Sb. Math.
\yr 2010
\vol 201
\issue 5
\pages 669--691
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  • https://doi.org/10.1070/SM2010v201n05ABEH004088
  • https://www.mathnet.ru/eng/sm/v201/i5/p41
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1117
    Russian version PDF:366
    English version PDF:30
    References:110
    First page:12
     
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