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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 225–232
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-225-232 (Mi timm1368) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Biorthogonal bases of spaces of n-separate multiresolution analysis and multiwavelets

E. A. Pleshcheva

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (168 kB) Citations (2)
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DOI: https://doi.org/10.21538/0134-4889-2016-22-4-225-232
Abstract: We construct biorthogonal bases of spaces of n-separate multiresolution analysis and wavelets for n scaling functions. Fast algorithms are presented for finding the coefficients of expansion of functions in such bases.
Keywords: wavelet, mask, biorthogonal basis, scaling function, multiresolution analysis.
Funding agency Grant number
Russian Science Foundation 14-11-00702
Received: 15.08.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2018, Volume 300, Issue 1, Pages 145–152
DOI: https://doi.org/10.1134/S0081543818020141
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 42C40, 42A38
Language: Russian
Citation: E. A. Pleshcheva, “Biorthogonal bases of spaces of n-separate multiresolution analysis and multiwavelets”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 225–232; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 145–152
Citation in format AMSBIB
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\paper Biorthogonal bases of spaces of $n$-separate multiresolution analysis and multiwavelets
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\vol 22
\issue 4
\pages 225--232
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  • https://www.mathnet.ru/eng/timm/v22/i4/p225
    • This publication is cited in the following 2 articles:
    1. E. A. Pleshcheva, Springer Proceedings in Mathematics & Statistics, 318, Mathematical Analysis With Applications, 2020, 229  crossref
    2. Xiaorong Tan, Peng Li, “Constructing Symmetric-Antisymmetric Multi-wavelets and Transforming Digital Image by Multi-wavelets”, IOP Conf. Ser.: Mater. Sci. Eng., 466 (2018), 012062  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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