Geodesic
On existence of frames based on the Szeg\"{o} kernel in the Hardy space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2019), pp. 57-68

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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. 
@article{IVM_2019_2_a6,
     author = {K. S. Speransky and P. A. Terekhin},
     title = {On existence of frames based on the {Szeg\"{o}} kernel in the {Hardy} space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {57--68},
     publisher = {mathdoc},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_2_a6/}
}
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K. S. Speransky; P. A. Terekhin. On existence of frames based on the Szeg\"{o} kernel in the Hardy space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2019), pp. 57-68. http://geodesic.mathdoc.fr/item/IVM_2019_2_a6/