SOLVABILITY OF CONVOLUTION EQUATIONS IN THE BEURLING SPACES OF ULTRADIFFERENTIABLE FUNCTIONS OF MEAN TYPE ON AN INTERVAL

被引：0

作者：

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

机构：

[1] So Fed Univ, Rostov Na Donu, Russia

[2] So Math Inst, Vladikavkaz, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 03期

关键词：

ultradifferentiable functions; convolution equation; division theorem; NONRADIAL HORMANDER ALGEBRAS; ANALYTIC-FUNCTIONS; OPERATORS; RANGE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a solvability criterion for convolution equations in the Beurling classes of ultradifferentiable functions of mean type on an interval. Under study is also the question of degeneration of convolution equations into infinite-order equations with constant coefficients.

引用

页码：377 / 392

页数：16

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