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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 2, Pages 57–68
DOI: https://doi.org/10.26907/0021-3446-2019-2-57-68 (Mi ivm9440) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On existence of frames based on the Szegö kernel in the Hardy space

K. S. Speransky, P. A. Terekhin

Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-2-57-68
Abstract: It is well-known that a sequence of functions constructed by sampling of the Szegö kernel cannot be the Duffin–Shaeffer frame for the Hardy space on the unit disk. In this paper we show that by using the more general concept of a frame the problem of existence of a frame based on the Szegö kernel has a solution.
Keywords: Duffin–Schaeffer frames, Banach frames, framing model, reproducing kernel Hilbert space, Hardy space, Szegö kernel.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00414_а
Received: 05.12.2017
Revised: 09.01.2018
Accepted: 22.03.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 2, Pages 51–61
DOI: https://doi.org/10.3103/S1066369X19020075
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: K. S. Speransky, P. A. Terekhin, “On existence of frames based on the Szegö kernel in the Hardy space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2, 57–68; Russian Math. (Iz. VUZ), 63:2 (2019), 51–61
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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