Quasi-compactness of Transfer Operators for Contact Anosov Flows
نویسنده
چکیده
For any C contact Anosov flow with r ≥ 3, we construct a scale of Hilbert spaces, which are embedded in the space of distributions on the phase space and contain all the C functions, such that the oneparameter family of the transfer operators for the flow extend to them boundedly and that the extensions are quasi-compact. Further we give explicit bounds on the essential spectral radii of those extensions in terms of the differentiability r and the hyperbolicity exponents of the flow.
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تاریخ انتشار 2008