FBI Transform in Gevrey Classes and Anosov Flows

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...

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Bibliographic Details
Published in:arXiv.org 2024-07
Main Authors: Yannick Guedes Bonthonneau, Malo Jézéquel
Format: Article
Language:English
Subjects:
Manifolds
Online Access:Get full text
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Summary: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.
ISSN:2331-8422