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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 3(1), Pages 25–32
DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-25-32 (Mi isu231) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Nonorthogonal multiresolution analysis on zero-dimensional locally compact groups

S. F. Lukomskii

Saratov State University, Chair of Mathematical Analysis
Full-text PDF (216 kB) Citations (2)
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DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-25-32
Abstract: We given necessary and sufficient condition under which the solution of refinement equation with compactly supported Fourier transform generate the multiresolution analysis.
Key words: zero-dimensional locally compact groups, shifts, dilations, Riesz systems.
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: S. F. Lukomskii, “Nonorthogonal multiresolution analysis on zero-dimensional locally compact groups”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011), 25–32
Citation in format AMSBIB
\Bibitem{Luk11}
\by S.~F.~Lukomskii
\paper Nonorthogonal multiresolution analysis on zero-dimensional locally compact groups
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 3(1)
\pages 25--32
\mathnet{http://mi.mathnet.ru/isu231}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-3-1-25-32}
\elib{https://elibrary.ru/item.asp?id=16539510}
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    • This publication is cited in the following 2 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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