Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
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



Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find






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


Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 2(1), Pages 8–14
DOI: https://doi.org/10.18500/1816-9791-2013-13-2-1-8-14
(Mi isu390)
 

Mathematics

Matrix representation of dilation operator on the product of zero-dimensional locally compact Abelian groups

S. F. Lukomskii

Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
References:
Abstract: In the real wavelet analysis $d$-dimensional dilation operator may be written with the help of an integer-valued $d\times d$ matrix. We find the matrix representation of the dilation operator on the product of zero-dimensional locally compact Abelian groups.
Key words: zero-dimensional group, delation operator, multiresolution analysis.
Bibliographic databases:
Document Type: Article
UDC: 517.518.34+517.518.36+517.986.62
Language: Russian
Citation: S. F. Lukomskii, “Matrix representation of dilation operator on the product of zero-dimensional locally compact Abelian groups”, Izv. Saratov Univ. Math. Mech. Inform., 13:2(1) (2013), 8–14
Citation in format AMSBIB
\Bibitem{Luk13}
\by S.~F.~Lukomskii
\paper Matrix representation of dilation operator on the product of zero-dimensional locally compact Abelian groups
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 2(1)
\pages 8--14
\mathnet{http://mi.mathnet.ru/isu390}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-2-1-8-14}
Linking options:
  • https://www.mathnet.ru/eng/isu390
  • https://www.mathnet.ru/eng/isu/v13/i3/p8
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:518
    Full-text PDF :125
    References:70
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024