Quasi-compactness of transfer operators for contact Anosov flows
Quasi-compactness of transfer operators for contact Anosov flows
For any $C^r$ contact Anosov flow with $r\ge 3$, we construct a scale of Hilbert spaces, which are embedded in the space of distributions on the phase space and contain all $C^r$ functions, such that the transfer operators for the flow extend to them boundedly and that the extensions are …