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FBI Transform in Gevrey Classes and Anosov Flows

Abstract : 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.
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Preprints, Working Papers, ...
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Contributor : Yannick Guedes Bonthonneau <>
Submitted on : Monday, January 20, 2020 - 3:21:56 PM
Last modification on : Friday, April 10, 2020 - 5:13:33 PM

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  • HAL Id : hal-02446007, version 1
  • ARXIV : 2001.03610


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



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