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This article is cited in 3 scientific papers (total in 3 papers)
On a system of entire functions of class A which is biorthogonal to a lacunar power system on the ray
F. N. Garif'yanova, E. V. Strezhnevab a Kazan State Power Engineering University, Kazan, Russia
b Kazan National Research Technical University named after A. N. Tupolev, Kazan, Russia
Abstract:
We construct a system of entire functions of exponential type of class A biorthogonal with weight to some power system on the ray. The indicator diagram of such a function is a segment of the imaginary axis. Functions analytic in a circular lacuna are represented by biorthogonal series.
Keywords:
entire function of class A, regularization method, moment problem.
Received: 13.10.2015
Citation:
F. N. Garif'yanov, E. V. Strezhneva, “On a system of entire functions of class A which is biorthogonal to a lacunar power system on the ray”, Sibirsk. Mat. Zh., 58:1 (2017), 83–87; Siberian Math. J., 58:1 (2017), 63–66
Linking options:
https://www.mathnet.ru/eng/smj2841 https://www.mathnet.ru/eng/smj/v58/i1/p83
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Abstract page: | 222 | Full-text PDF : | 33 | References: | 27 | First page: | 3 |
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