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FBI transform in Gevrey classes and Anosov flows / Yannick Guedes Bonthonneau, Malo Jézéquel.
Math/Physics/Astronomy Library QA1 .A85 v.456
Available
Math/Physics/Astronomy Library QA3 .L282 1968/1969-2019/2021
Available
LIBRA QA3 .L282 no.901 (1980/1981)
Available from offsite location
Math/Physics/Astronomy Library QA1 .A85 1,4-6,9-11,13-15,18-35,38-68,71-91,94-95,97-99,101-103/104,107/108-115,117-118,123-132, 135-144,147-160,163-178,181-258,261-370,372-393,400-404,406-425,427-462
Mixed Availability
- Format:
- Book
- Author/Creator:
- Guedes Bonthonneau, Yannick, author.
- Jézéquel, Malo, author.
- Series:
- Astérisque ; 0303-1179 456.
- Astérisque, 0303-1179 ; 456
- Language:
- English
- French
- Subjects (All):
- Fourier-Bros-Iagolnitzer transformations.
- Anosov flows.
- Differentiable dynamical systems.
- Transformations (Mathematics).
- Differential equations, Partial.
- Physical Description:
- 233 pages : illustrations ; 24 cm.
- Place of Publication:
- Paris : Société mathématique de France, 2025.
- Language Note:
- Abstract in English and French.
- Summary:
- This monograph has a triple purpose. The first chapter is dedicated to the study of semi-classical pseudo-differential operators whose symbols are Gevrey in all variables. In the second one, the theory of I-lagrangian functional spaces is presented, in the case that the lagrangian is not a compactly supported deformation of the cotangent. The relation with the operators presented before is also analyzed. In the last chapter, the theory is applied to the study of Gevrey Anosov flows, investigating in particular the growth of their dynamical determinants. back cover.
- L'objectif de ce monographe est triple. Le premier chapitre pose les bases d'un calcul pseudo-differentiel semi-classique avec symboles Gevrey dans toutes les variables. Le deuxième détaille la construction d'espaces I-lagrangiens associés à des lagrangiennes qui ne sont pas des déformations à support compact du cotangent, ainsi que leur relation avec les opérateurs précédemment étudiés. Le dernier chapitre présente une application de cette théorie à l'étude des flots d'Anosov Gevrey, et en particulier à l'étude de la croissance de leurs déterminants dynamiques. back cover.
- Contents:
- Gevrey microlocal analysis on manifolds
- FBI transform on compact manifolds
- Ruelle-Pollicott resonances and Gevrey Anosov flows
- Notes:
- Includes bibliographic references (pages 227-233).
- ISBN:
- 9782379052095
- 2379052093
- OCLC:
- 1517561796
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