Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform

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    36 Citations (Scopus)

    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. Nonlinearity 23 (2010), 1495-1545]. Also, we provide a simplified proof by using the so-called Fourier-Bros-Iagolnitzer (FBI) (or Bargmann) transform.

    Original languageEnglish
    Pages (from-to)2083-2118
    Number of pages36
    JournalErgodic Theory and Dynamical Systems
    Volume32
    Issue number6
    DOIs
    Publication statusPublished - Dec 2012

    All Science Journal Classification (ASJC) codes

    • General Mathematics
    • Applied Mathematics

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