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math.AP2020
Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics
Yannick Guedes Bonthonneau, Thibault Lefeuvre
We prove a radial source estimate in Hölder-Zygmund spaces for uniformly hyperbolic dynamics (also known as Anosov flows), in the spirit of Dyatlov-Zworski. The main consequence is…
math.AP2020★ 8 cited
FBI Transform in Gevrey Classes and Anosov Flows
Yannick Guedes Bonthonneau, Malo Jézéquel
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 regular…