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FBI transform in Gevrey classes and Anosov flows/ Yannick Guedes Bonthonneau and Malo Jézéquel

By: Material type: TextTextSeries: Asterisque ; 456 | AstérisquePublication details: Marseille: Société Mathématique de France, 2025Description: 233 pages: Illustrations; 24cmISBN:
  • 9782379052095
Subject(s): DDC classification:
  • 23rd 515.39 B722
Contents:
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.
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Gevrey microlocal analysis on manifolds -- FBI Transform on compact manifolds -- Ruelle-pollicott resonances and gevrey 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 particular, finite order for the associated dynamical determinant is proved.

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