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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
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.
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
Linking options:
https://www.mathnet.ru/eng/isu142 https://www.mathnet.ru/eng/isu/v7/i1/p39
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Abstract page: | 304 | Full-text PDF : | 125 | References: | 37 | First page: | 1 |
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