关于拟解析芽的不可延拓性
经典分析与常微分方程
2010-09-08 v2 泛函分析
摘要
设 为在 中0点的邻域内属于给定Denjoy-Carleman拟解析类的函数在0点的芽的局部环。我们证明，环 包含无法在 中0点的邻域内进行拟解析延拓的元素，除非该环与实解析芽的环重合。
关键词
引用
@article{arxiv.1006.4171,
title = {On the non-extendability of quasianalytic germs},
author = {Vincent Thilliez},
journal= {arXiv preprint arXiv:1006.4171},
year = {2010}
}
备注
This paper has been withdrawn since the author has found out that a similar result, with a slightly different proof, already appeared in a paper of M. Langenbruch (Manuscripta Math. 83 (1994), 123-143; see the remark after Corollary 2.4)