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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
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.
Received: 05.12.2017 Revised: 09.01.2018 Accepted: 22.03.2018
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
Linking options:
https://www.mathnet.ru/eng/ivm9440 https://www.mathnet.ru/eng/ivm/y2019/i2/p57
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Abstract page: | 374 | Full-text PDF : | 136 | References: | 26 | First page: | 14 |
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