Flat functions in Carleman ultraholomorphic classes via proximate orders

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Sanz, Javier

关键词: Carleman ultraholomorphic classes;    Asymptotic expansions;    Proximate order;    Borel-Ritt-Gevrey theorem;    Watson's lemma;    Laplace transform;    Extension operators;   

DOI  :  10.1016/j.jmaa.2014.01.083

来源: Elsevier

【 摘 要 】

Whenever the defining sequence of a Carleman ultraholomorphic class (in the sense of H. Komatsu) is strongly regular and associated with a proximate order, flat functions are constructed in the class on sectors of optimal opening. As consequences, we obtain analogues of both Borel-Ritt-Gevrey theorem and Watson's lemma in this general situation. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free