ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR

We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool. In questions of decomposition of functions into a series of exponentials, the subharmonic function, as a...

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Bibliographic Details
Main Author: Isaev K . P .
Format: Article
Language:English
Published: Petrozavodsk State University 2018-09-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5451&lang=ru
Description
Summary:We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool. In questions of decomposition of functions into a series of exponentials, the subharmonic function, as a rule, satisfies the Lipschitz condition. We prove the theorem on approximation of such subharmonic functions. Also we prove the theorem on joint approximation of two subharmonic functions.
ISSN:2306-3424
2306-3432