On Properties of Zero Sets of Divisors in Weighted Spaces of Entire Functions

被引：0

作者：

Abuzyarova, N. F. ^{[1
]}

Fazullin, Z. Yu. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Math, Comp Ctr, Subdiv Ufa Fed Res Ctr, Ufa 450008, Russia

[2] Ufa Univ Sci & Technol, Ufa 450076, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 06期

关键词：

entire function; distribution of zero set; Schwartz algebra; ultradistribution; Fourier-Laplace transform; convolution operator; EHRENPREIS; SENSE;

D O I：

10.1134/S1995080223060021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider weighted spaces of entire functions which are Fourier-Laplace transform images of spaces of -ultradistributions. We study divisors of these spaces having only real zeros. Two properites of such zero sets are obtained. We illustrate the results by a series of examples.

引用

页码：2192 / 2201

页数：10

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