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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2007, Volume 7, Issue 1, Pages 39–44
DOI: https://doi.org/10.18500/1816-9791-2007-7-1-39-44 (Mi isu142) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Basis conditions for systems of translates and dilates of functions in $L_p$-spaces

P. A. Terekhin

Saratov State University, Chair of Mathematical Analysis
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DOI: https://doi.org/10.18500/1816-9791-2007-7-1-39-44
Abstract: We consider a family of translates and dilates of function (or in other words family of wavelets on finite interval) in Lebesgue spaces. The explicit expressions for biorthogonal family are given. The theorem of equiconvergence for biorthogonal wavelets series and Fourier–Haar series is established.
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: P. A. Terekhin, “Basis conditions for systems of translates and dilates of functions in $L_p$-spaces”, Izv. Saratov Univ. Math. Mech. Inform., 7:1 (2007), 39–44
Citation in format AMSBIB
\Bibitem{Ter07}
\by P.~A.~Terekhin
\paper Basis conditions for systems of translates and dilates of functions in $L_p$-spaces
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2007
\vol 7
\issue 1
\pages 39--44
\mathnet{http://mi.mathnet.ru/isu142}
\crossref{https://doi.org/10.18500/1816-9791-2007-7-1-39-44}
\elib{https://elibrary.ru/item.asp?id=9954068}
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    • This publication is cited in the following 1 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Full-text PDF :125
    References:37
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