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

被引：0
|
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
收藏
页码：85 / 105
页数：21
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