|
This article is cited in 4 scientific papers (total in 4 papers)
The interpolation problem in the spaces of analytical 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 in terms of the canonical Nevanlinna product of nodes of interpolation are obtained. The solution of the interpolation problem is constructed in the form of the Jones interpolation series, which is a generalization of the Lagrange interpolation series.
Keywords:
half-plane, function of finite order, free interpolation, Nevanlinna product, interpolation series.
Received: 19.04.2018 Revised: 23.07.2018 Accepted: 05.08.2018
Citation:
K. G. Malyutin, A. L. Gusev, “The interpolation problem in the spaces of analytical functions of finite order in the half-plane”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 113–123
Linking options:
https://www.mathnet.ru/eng/pa236 https://www.mathnet.ru/eng/pa/v25/i3/p113
|
Statistics & downloads: |
Abstract page: | 224 | Full-text PDF : | 46 | References: | 39 |
|