Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Terekhin P. A. Orthorecursive expansions generated by the Szego kernel. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2023, vol. 23, iss. 4, pp. 443-455. DOI: 10.18500/1816-9791-2023-23-4-443-455, EDN: FNPHQP

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
30.11.2023
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Language: 
Russian
Heading: 
Mathematics
Article type: 
Article
UDC: 
517.5
DOI: 
10.18500/1816-9791-2023-23-4-443-455
EDN: 
FNPHQP

Orthorecursive expansions generated by the Szego kernel

Autors: 
Terekhin Pavel A., Saratov State University
Abstract: 

This article considers systems of subspaces of the Hardy space generated by the Szego 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
Szego kernel
orthorecursive expansion
frame
Acknowledgments: 
This research was supported by the Russian Science Foundation (project No. 23-71-30001) at Lomonosov Moscow State University.
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Received: 
24.07.2023
Accepted: 
28.08.2023
Published: 
30.11.2023
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