Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

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)
References:
PDF
HTML
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
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 5, Pages 41–64
DOI: https://doi.org/10.4213/sm7580
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”, Mat. Sb., 201:5 (2010), 41–64; Sb. Math., 201:5 (2010), 669–691
Citation in format AMSBIB
\Bibitem{Luk10}
\by S.~F.~Lukomskii
\paper Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases
\jour Mat. Sb.
\yr 2010
\vol 201
\issue 5
\pages 41--64
\mathnet{http://mi.mathnet.ru/sm7580}
\crossref{https://doi.org/10.4213/sm7580}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2681113}
\zmath{https://zbmath.org/?q=an:1201.42026}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010SbMat.201..669L}
\elib{https://elibrary.ru/item.asp?id=19066204}
\transl
\jour Sb. Math.
\yr 2010
\vol 201
\issue 5
\pages 669--691
\crossref{https://doi.org/10.1070/SM2010v201n05ABEH004088}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000281540600004}
\elib{https://elibrary.ru/item.asp?id=16976914}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77958607304}
Linking options:
  • https://www.mathnet.ru/eng/sm7580
  • 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:1110
    Russian version PDF:359
    English version PDF:27
    References:108
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024