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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 225, Pages 134–149
DOI: https://doi.org/10.36535/0233-6723-2023-225-134-149 (Mi into1194) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Step scaling functions and the Chrestenson system

Yu. A. Farkov

Russian Academy of National Economy and Public Administration under the President of the Russian Federation, Moscow
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DOI: https://doi.org/10.36535/0233-6723-2023-225-134-149
Abstract: A review of methods for constructing step scaling functions on the positive half-line $\mathbb{R}_+$ associated with the Chrestenson functions is presented. The conditions under which such step functions generate orthogonal wavelets and tight frames are discussed. A detailed bibliography is provided.
Keywords: Walsh function, Chrestenson system, Poisson formula, Cantor group, Vilenkin group, scaling function, wavelet, tight frame, discrete wavelet transform.
Document Type: Article
UDC: 517.518
MSC: 42C15,42C40,43A15,65T60
Language: Russian
Citation: Yu. A. Farkov, “Step scaling functions and the Chrestenson system”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 225, VINITI, Moscow, 2023, 134–149
Citation in format AMSBIB
\Bibitem{Far23}
\by Yu.~A.~Farkov
\paper Step scaling functions and the Chrestenson system
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 225
\pages 134--149
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1194}
\crossref{https://doi.org/10.36535/0233-6723-2023-225-134-149}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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