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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2023, Volume 23, Issue 4, Pages 443–455
DOI: https://doi.org/10.18500/1816-9791-2023-23-4-443-455 (Mi isu1002) 		 
Scientific Part
Mathematics

Orthorecursive expansions generated by the Szegö kernel

P. A. Terekhinab

a Lomonosov Moscow State University, Moscow Сenter of Fundamental and Applied Mathematics, GSP-1, Leninskiye Gory, Moscow 119991, Russia
b Saratov State University, 83 Astrakhanskaya St., Saratov 410012, Russia
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DOI: https://doi.org/10.18500/1816-9791-2023-23-4-443-455
Abstract: This article considers systems of subspaces of the Hardy space generated by the Szegö kernel. The main result of the work is to establish the convergence of orthorecursive expansions with respect to the considered systems of subspaces. Note that the conditions for the convergence of orthorecursive expansions prove to be somewhat more restrictive compared to the previously obtained conditions for the convergence of order-preserving weak greedy algorithms and frame expansions.
Key words: reproducing kernel Hilbert space, Hardy space, Szegö kernel, orthorecursive expansion, frame.
Funding agency Grant number
Russian Science Foundation 23-71-30001
This research was supported by the Russian Science Foundation (project No. 23-71-30001) at Lomonosov Moscow State University.
Received: 24.07.2023
Accepted: 28.08.2023
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: P. A. Terekhin, “Orthorecursive expansions generated by the Szegö kernel”, Izv. Saratov Univ. Math. Mech. Inform., 23:4 (2023), 443–455
Citation in format AMSBIB
\Bibitem{Ter23}
\by P.~A.~Terekhin
\paper Orthorecursive expansions generated by the Szeg\"o kernel
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2023
\vol 23
\issue 4
\pages 443--455
\mathnet{http://mi.mathnet.ru/isu1002}
\crossref{https://doi.org/10.18500/1816-9791-2023-23-4-443-455}
\edn{https://elibrary.ru/FNPHQP}
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