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Contact Anosov flows and the Fourier–Bros–Iagolnitzer transform

Published online by Cambridge University Press:  03 November 2011

MASATO TSUJII
MASATO TSUJII*
Affiliation:
Department of Mathematics, Kyushu University, Moto-oka 744, Nishi-ku, Fukuoka, 819-0395, Japan (email: tsujii@math.kyushu-u.ac.jp)
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Abstract

This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radii of the transfer operators acting on an appropriate function space exactly and improves the previous result in Tsujii [Quasi-compactness of transfer operators for contact Anosov flows. Nonlinearity23 (2010), 1495–1545]. Also, we provide a simplified proof by using the so-called Fourier–Bros–Iagolnitzer (FBI) (or Bargmann) transform.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 6 , December 2012 , pp. 2083 - 2118
Copyright
Copyright © Cambridge University Press 2011

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