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Pré-Publication, Document De Travail Année : 2020

FBI Transform in Gevrey Classes and Anosov Flows

Résumé

An analytic FBI transform is built on compact manifolds without boundary, that satisfies all the expected properties. It enables the study of microlocal analytic regularity on such manifolds. This tool is then used to study the Ruelle spectrum of Anosov flows with Gevrey coefficients. In particular, a Weierstrass factorization of their dynamical determinant is derived.

Dates et versions

hal-02446007 , version 1 (20-01-2020)

Identifiants

Citer

Yannick Guedes Bonthonneau, Malo Jézéquel. FBI Transform in Gevrey Classes and Anosov Flows. 2020. ⟨hal-02446007⟩
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