FBI Transform in Gevrey Classes and Anosov Flows
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866929415217217536 |
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| author | Bonthonneau, Yannick Guedes Jézéquel, Malo |
| author_facet | Bonthonneau, Yannick Guedes Jézéquel, Malo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_03610 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | FBI Transform in Gevrey Classes and Anosov Flows Bonthonneau, Yannick Guedes Jézéquel, Malo Analysis of PDEs Dynamical Systems Spectral Theory 37C30 (Primary) 35A22 (Secondary) 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. |
| title | FBI Transform in Gevrey Classes and Anosov Flows |
| topic | Analysis of PDEs Dynamical Systems Spectral Theory 37C30 (Primary) 35A22 (Secondary) |
| url | https://arxiv.org/abs/2001.03610 |