Abstract
AbstractThis 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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference17 articles.
1. Statistik der geodätischen Linien in Mannigfaltigkeiten negativer Krümmung;Hopf;Ber. Verh. Sächs. Akad. Wiss. Leipzig,1939
2. Functional Analysis
3. Selberg's trace formula as applied to a compact riemann surface
4. The rate of mixing for geodesic and horocycle flows
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