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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2019 Volume 8(26), Issue 3, Pages 96–104 (Mi pa275)

This article is cited 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.

UDC: 517.537

MSC: 30E05

Received: 11.07.2019
Revised: 03.11.2019
Accepted: 03.11.2019

Language: English

DOI: 10.15393/j3.art.2019.6690



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