论文标题
联邦调查局转换Gevrey课程和Anosov流动
FBI Transform in Gevrey Classes and Anosov Flows
论文作者
论文摘要
分析FBI转换构建在没有边界的紧凑型歧管上，这满足了所有预期属性。它可以研究此类歧管上的微局部分析和Gevrey规律性。然后，该工具用于研究具有Gevrey系数的Anosov流的Ruelle光谱。特别是，证明了相关动力学决定因素的有限顺序。
An analytic FBI transform is built on compact manifolds without boundary, that satisfies all the expected properties. It enables the study of microlocal analytic and Gevrey regularity on such manifolds. This tool is then used to study the Ruelle spectrum of Anosov flows with Gevrey coefficients. In particular, finite order for the associated dynamical determinant is proved.
