Abstract
The aim of this paper is to study the multiple interpolation problem in the spaces of analytical functions of finite order \(\rho>1\) in the half-plane. The necessary and sufficient conditions for solvability of interpolation problem are obtained. These conditions are formulated in terms of the Nevanlinna measure determined by the interpolation divisor.
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ACKNOWLEDGMENTS
The authors are thankful to the referee for valuable suggestions towards the improvement of the paper.
Funding
The research was supported by the Russian Foundation for Basic Research, project no. 18-01-00236.
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(Submitted by F. G. Avkhadiev)
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Malyutin, K., Kabanko, M. & Kozlova, I. Multiple Interpolation by the Functions of Finite Order in the Half-plane. II. Lobachevskii J Math 42, 811–822 (2021). https://doi.org/10.1134/S1995080221040144
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DOI: https://doi.org/10.1134/S1995080221040144