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This article is cited in 2 scientific papers (total in 2 papers)
Geometric meaning of the interpolation conditions in the class of functions of finite order in the half-plane
K. G. Malyutin, A. L. Gusev Kursk State University,
33 Radischeva str., Kursk 305000, Russia
Abstract:
The aim of this paper is to study the interpolation problem in the spaces of analytical functions of finite order $\rho>1$ in the half-plane.
The necessary and sufficient conditions for its solvability are found in terms of the measure defined by the nodes of interpolation.
Keywords:
half-plane, function of finite order, free interpolation, Nevanlinna measure, interpolation sequence.
Received: 11.07.2019 Revised: 03.11.2019 Accepted: 03.11.2019
Citation:
K. G. Malyutin, A. L. Gusev, “Geometric meaning of the interpolation conditions in the class of functions of finite order in the half-plane”, Probl. Anal. Issues Anal., 8(26):3 (2019), 96–104
Linking options:
https://www.mathnet.ru/eng/pa275 https://www.mathnet.ru/eng/pa/v26/i3/p96
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Abstract page: | 136 | Full-text PDF : | 31 | References: | 24 |
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