Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 223–233 (Mi timm1243)  
This article is cited in 1 scientific paper (total in 1 paper)

Biorthogonal bases of multiwavelets

E. A. Pleshcheva

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (179 kB) Citations (1)
References:
PDF
HTML
Abstract: A method for the construction of biorthogonal bases of multiwavelets from known bases of multiscaling functions is given. It is similar to the method presented in my 2014 paper coauthored with N.I. Chernykh and is based on the same principle: in the construction of multiwavelets based on $k$ multiscaling functions, an analog of the vector product of vectors in a $2k$-dimensional space is used.
Keywords: multiwavelet, mask, biorthogonal basis, scaling function, multiresolution analysis.
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 296, Issue 1, Pages 175–185
DOI: https://doi.org/10.1134/S008154381702016X
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: E. A. Pleshcheva, “Biorthogonal bases of multiwavelets”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 223–233; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 175–185
Citation in format AMSBIB
\Bibitem{Ple15}
\by E.~A.~Pleshcheva
\paper Biorthogonal bases of multiwavelets
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 223--233
\mathnet{http://mi.mathnet.ru/timm1243}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468444}
\elib{https://elibrary.ru/item.asp?id=25300999}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 296
\issue , suppl. 1
\pages 175--185
\crossref{https://doi.org/10.1134/S008154381702016X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403678000016}
Linking options:
  • https://www.mathnet.ru/eng/timm1243
  • https://www.mathnet.ru/eng/timm/v21/i4/p223
    • This publication is cited in the following 1 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
    Statistics & downloads:
    Abstract page:202
    Full-text PDF :98
    References:34
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024