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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 170, Pages 62–70
DOI: https://doi.org/10.36535/0233-6723-2019-170-62-70 (Mi into532) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Orthorecursive decompositions and their properties

V. V. Galatenko, T. P. Lukashenko, V. A. Sadovnichy

Lomonosov Moscow State University
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DOI: https://doi.org/10.36535/0233-6723-2019-170-62-70
Abstract: This paper is devoted to orthorecursive decompositions introduced in 1999, which generalize the notion of orthogonal decompositions. We present main results obtained over the last 20 years about properties of orthorecursive decompositions and indicate some areas for further research.
Keywords: orthorecursive decomposition, orthogonal system, frame, decomposition, convergence.
Document Type: Article
UDC: 517.51, 517.98
MSC: 06D22, 43Axx
Language: Russian
Citation: V. V. Galatenko, T. P. Lukashenko, V. A. Sadovnichy, “Orthorecursive decompositions and their properties”, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 170, VINITI, Moscow, 2019, 62–70
Citation in format AMSBIB
\Bibitem{GalLukSad19}
\by V.~V.~Galatenko, T.~P.~Lukashenko, V.~A.~Sadovnichy
\paper Orthorecursive decompositions and their properties
\inbook Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part~1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 170
\pages 62--70
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into532}
\crossref{https://doi.org/10.36535/0233-6723-2019-170-62-70}
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