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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 499, Pages 7–21 (Mi znsl7042)  
I

Discrete periodic multiresolution analysis

P. A. Andrianov

Saint Petersburg State University
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Abstract: Discrete periodic multiresolution analysis. Multiresolution analyses in the space of discrete periodic complex-valued functions are studied. Characterization of a multiresolution analysis in terms of Fourier coefficients of functions that form a corresponding scaling sequence is obtained. An example of a multiresolution analysis with scaling sequence that consists of trigonometric polynomials with minimally supported spectrum is provided.
Key words and phrases: discrete wavelets, discrete multiresolution analysis, periodic wavelets, periodic multiresolution analysis.
Funding agency Grant number
Russian Science Foundation 18-11-00055
Received: 09.11.2020
Document Type: Article
UDC: 517.5
Language: Russian
Citation: P. A. Andrianov, “Discrete periodic multiresolution analysis”, Investigations on applied mathematics and informatics. Part I, Zap. Nauchn. Sem. POMI, 499, POMI, St. Petersburg, 2021, 7–21
Citation in format AMSBIB
\Bibitem{And21}
\by P.~A.~Andrianov
\paper Discrete periodic multiresolution analysis
\inbook Investigations on applied mathematics and informatics. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 499
\pages 7--21
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7042}
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