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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 480, Pages 48–61 (Mi znsl6764)  
This article is cited in 1 scientific paper (total in 1 paper)

Sufficient conditions for a multidimensional system of periodic wavelets to be a frame

P. A. Andrianov

Saint Petersburg State University
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Abstract: Multidimensional periodic wavelet systems with matrix dilations are studied. Sufficient conditions under which such a system is Bessel are established. The conditions are given in terms of Fourier coefficients. A way of constructing a wavelet Riesz basis that starts with a suitable sequence of trigonometric polynomials is provided.
Key words and phrases: wavelet function, periodic multiresolution analysis, wavelet frame, Bessel system.
Funding agency Grant number
Russian Science Foundation 18-11-00055
Received: 09.10.2019
Document Type: Article
UDC: 517.5
Language: Russian
Citation: P. A. Andrianov, “Sufficient conditions for a multidimensional system of periodic wavelets to be a frame”, Investigations on linear operators and function theory. Part 47, Zap. Nauchn. Sem. POMI, 480, ПОМИ, СПб., 2019, 48–61
Citation in format AMSBIB
\Bibitem{And19}
\by P.~A.~Andrianov
\paper Sufficient conditions for a multidimensional system of periodic wavelets to be a frame
\inbook Investigations on linear operators and function theory. Part~47
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 480
\pages 48--61
\publ ПОМИ
\publaddr СПб.
\mathnet{http://mi.mathnet.ru/znsl6764}
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  • https://www.mathnet.ru/eng/znsl/v480/p48
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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