Flat functions in Carleman ultraholomorphic classes via proximate orders
Complex Variables
2014-02-12 v1
Abstract
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.
Cite
@article{arxiv.1402.2627,
title = {Flat functions in Carleman ultraholomorphic classes via proximate orders},
author = {Javier Sanz},
journal= {arXiv preprint arXiv:1402.2627},
year = {2014}
}
Comments
22 pages. arXiv admin note: text overlap with arXiv:1402.1669