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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)
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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
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\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
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\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}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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