Problem of multiple interpolation in class of analytical functions of zero order in half-plane
Year: 2014
Type: article
Abstract: In the paper we consider the problem of multiple interpolation in a class of functions of a zero order and type not exceeding normal in the upper half-plane of the complex variable.This problem belongs to the class of problems of free interpolation considered initially by A.F. Leont'ev.We find necessary and sufficient solvability conditions for this problem.The found criteria are formulated in terms of the canonical products constructed on interpolation nodes, and in terms of the Nevanlinna measure determined by these nodes.The work is a continuation of researches of the second author considered similar problems in classes of analytic functions in the upper half-plane of a nonzero order.
Source: Ufimskii Matematicheskii Zhurnal
DOI: 10.13108/2014-6-1-18
Institution: Sumy State University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2320173608