Contact Anosov flows and the FBI transform
Dynamical Systems
2011-06-23 v3 Functional Analysis
Abstract
This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radius of the transfer operators acting on the so-called anisotropic Sobolev space exactly in terms of dynamical exponents. Also we provide a simplified proof by using the FBI transform.
Keywords
Cite
@article{arxiv.1010.0396,
title = {Contact Anosov flows and the FBI transform},
author = {Masato Tsujii},
journal= {arXiv preprint arXiv:1010.0396},
year = {2011}
}
Comments
34 pages, no figures; Corrected typos, changed notation slightly, added a few remarks