GENERAL SOLUTION OF THE HOMOGENEOUS CONVOLUTION EQUATION IN SPACES OF ULTRADIFFERENTIABLE FUNCTIONS

被引：1

作者：

Polyakova, D. A. ^{[1
,2
]}

机构：

[1] Southern Fed Univ, Milchakov Str 8A, Rostov Na Donu 344090, Russia

[2] RAS, Vladikavkaz Sci Ctr, Southern Math Inst, Markus Str 22, Vladikavkaz 362027, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2020年 / 31卷 / 01期

关键词：

Ultradifferentiable functions; convolution equation; differential equation of infinite order; OPERATORS;

D O I：

10.1090/spmj/1587

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An exponential-polynomial basis is constructed in the space of all solutions of a homogeneous convolution equation in the Beurling spaces of ultradifferentiable functions of mean type on the real axis.

引用

页码：85 / 105

页数：21

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