TY - BOOK AU - Bonthonneau,Yannick Guedes TI - FBI transform in Gevrey classes and Anosov flows T2 - Asterisque, SN - 9782379052095 U1 - 515.39 23rd PY - 2025/// CY - Marseille PB - Société Mathématique de France KW - Ruelle-pollicott resonances KW - gevrey anosov flows KW - FBI Transform KW - Gevrey microlocal analysis KW - I-lagrangian spaces N1 - Include bibliography; Gevrey microlocal analysis on manifolds -- FBI Transform on compact manifolds -- Ruelle-pollicott resonances and gevrey anosov flows N2 - 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 ER -