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FBI Transform in Gevrey Classes and Anosov Flows
Preprint
10 January 2020
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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.