Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 3, Pages 3–7 (Mi vmumm777)  
This article is cited in 7 scientific papers (total in 7 papers)

Mathematics

Orthorecursive expansions in Hilbert spaces

A. V. Politov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (356 kB) Citations (7)
Abstract: Orthorecursive expansions over systems of closed subspaces of a Hilbert space are considered. Sufficient conditions for convergence of these expansions to the expanded elements are proved. The results obtained are illustrated on systems of contractions and translations of fixed functions.
Key words: orthorecursive expansion, convergence, system of contractions and translations.
Received: 29.12.2008
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. V. Politov, “Orthorecursive expansions in Hilbert spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 3, 3–7
Citation in format AMSBIB
\Bibitem{Pol10}
\by A.~V.~Politov
\paper Orthorecursive expansions in Hilbert spaces
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 3
\pages 3--7
\mathnet{http://mi.mathnet.ru/vmumm777}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2961962}
\zmath{https://zbmath.org/?q=an:1304.42006}
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    • This publication is cited in the following 7 articles:
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