一个谱具有重数为一的 Lebesgue 分量的非奇异变换
动力系统
2019-02-20 v2 复变函数
谱理论
摘要
本文给出了一个遍历非奇异映射的示例，其对应的酉算子在谱中具有重数为一的 Lebesgue 分量。
引用
@article{arxiv.1402.1312,
title = {A non-singular transformation whose spectrum has Lebesgue component of multiplicity one},
author = {E. H. El Abdalaoui and M. G. Nadkarni},
journal= {arXiv preprint arXiv:1402.1312},
year = {2019}
}
备注
The paper is accepted for publication in ETDS, and in this revised version, we gives a short proof of a new Lemma of L^1-flatness that state that if the spectral type of generalized odometer (rank one maps in particular case) has the same null sets as the Lebesgue measure then the associated sequence of polynomials is L^1-flat