扩张映射谱的正则性
动力系统
2018-10-12 v2 泛函分析
摘要
在本短文中，我们提议将一致扩张映射的加权转移算子的简单主导特征值所对应的归一化特征函数关于多维参数的可微性，推广到整个离散谱。为此，我们直接研究预解算子的正则性（关于参数），应用关于具有正则性损失的映射之不动点的一般正则性结果。
引用
@article{arxiv.1711.05647,
title = {Regularity of the spectrum for expanding maps},
author = {Julien Sedro},
journal= {arXiv preprint arXiv:1711.05647},
year = {2018}
}
备注
This is the second version: an error in the main argument was found in the previous version, which now stands corrected. The author would like to thank Hans Henrik Rugh for his advice on the matter