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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 4, Pages 18–27
(Mi vmj398)
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This article is cited in 2 scientific papers (total in 2 papers)
On coefficients of exponential series for analytic functions of polynomial growth
V. A. Varzieva, S. N. Melikhovab
a South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
b Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Rostov-on-Don, Russia
Abstract:
In this article a criterion is obtained that the operator of the representation of analytic functions on a bounded convex domain $G$ of polynomial growth near the boundary of $G$ by exponential series, exponents of which are zeroes of a special entire function, has a continuous linear right inverse.
Key words:
exponential series, analytic functions of polynomial growth, representation operator, continuous linear right inverse.
Received: 19.07.2011
Citation:
V. A. Varziev, S. N. Melikhov, “On coefficients of exponential series for analytic functions of polynomial growth”, Vladikavkaz. Mat. Zh., 13:4 (2011), 18–27
Linking options:
https://www.mathnet.ru/eng/vmj398 https://www.mathnet.ru/eng/vmj/v13/i4/p18
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