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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 1, Pages 221–230 (Mi timm1044)  
This article is cited in 2 scientific papers (total in 2 papers)

Construction of orthogonal multiwavelet bases

E. A. Pleshchevaa, N. I. Chernykhab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University named after the First President of Russia B. N. Yeltsin
Full-text PDF (176 kB) Citations (2)
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Abstract: We propose a method for constructing orthogonal multiwavelet bases of the space $\mathbf L^2(\mathbb R)$ for any known multiscaling functions that generate a multiresolution analysis of dimension greater than 1.
Keywords: multiwavelet, multiresolution analysis, multiscaling function, mask, matrix mask.
Received: 05.04.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 288, Issue 1, Pages 162–172
DOI: https://doi.org/10.1134/S0081543815020169
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: E. A. Pleshcheva, N. I. Chernykh, “Construction of orthogonal multiwavelet bases”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 1, 2014, 221–230; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 162–172
Citation in format AMSBIB
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\by E.~A.~Pleshcheva, N.~I.~Chernykh
\paper Construction of orthogonal multiwavelet bases
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 20
\issue 1
\pages 221--230
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2015
\vol 288
\issue , suppl. 1
\pages 162--172
\crossref{https://doi.org/10.1134/S0081543815020169}
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Linking options:
  • https://www.mathnet.ru/eng/timm1044
  • https://www.mathnet.ru/eng/timm/v20/i1/p221
    • This publication is cited in the following 2 articles:
    1. M. S. Bespalov, “Troichnyi diskretnyi veivletnyi bazis”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 20:3 (2020), 367–377  mathnet  crossref
    2. E. A. Pleshcheva, “Biorthogonal bases of multiwavelets”, Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 175–185  mathnet  crossref  mathscinet  isi  elib
    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
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    Full-text PDF :92
    References:61
    First page:14
     
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