The action of operator semigroups on the topological dual of the Beurling-Bjorck space

被引：2

作者：

Alvarez, Josefina ^{[1
]}

Eydenberg, Michael S. ^{[1
]}

Obiedat, Hamed ^{[2
]}

机构：

[1] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

[2] Hashemite Univ, Dept Math, Zarqa, Jordan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 01期

关键词：

Beurling-Bjorck space; w-tempered distributions; representation theorem; admissible initial values; Gauss-Weierstrass semigroup; Ornstein-Uhlenbeck semigroup;

D O I：

10.1016/j.jmaa.2007.06.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the action of a class of operator semigroups on generalized functions of almost exponential growth, proving that these generalized functions are admissible initial conditions for the associated heat equation. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：405 / 418

页数：14

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