For citation:
Terekhin P. A. Basis Conditions for Systems of Translates and Dilates of Functions in Lp-Spaces. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2007, vol. 7, iss. 1, pp. 39-44. DOI: 10.18500/1816-9791-2007-7-1-39-44
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
14.05.2007
Full text:
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Language:
Russian
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UDC:
517.51
Basis Conditions for Systems of Translates and Dilates of Functions in Lp-Spaces
Autors:
Terekhin Pavel A., Saratov State University
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.
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References:
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