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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:339

Article

Alvarez, Josefina¹  Eydenberg, Michael S.¹  Obiedat, Hamed² 

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

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

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

DOI  :  10.1016/j.jmaa.2007.06.065

来源: Elsevier

【 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.

【 授权许可】

Free