Geometry of the generalized geodesic flow and inverse spectral problems / Vesselin M. Petkov, Luchezar N. Stoyanov.

Revised and expanded edition of: Geometry of reflecting rays and inverse spectral problems (Chichester, England ; New York : Wiley, c1992).

Includes bibliographical references and index.

Description based on print version record.

Preliminaries from differential topology and microlocal analysis -- Reflecting rays -- Poisson relation for manifolds with boundary -- Poisson summation formula for manifolds with boundary -- Poisson relation for the scattering kernel -- Generic properties of reflecting rays -- Bumpy surfaces -- Inverse spectral results for generic bounded domains -- Singularities of the scattering kernel -- Scattering invariants for several strictly convex domains -- Poisson relation for the scattering kernel for generic directions -- Scattering kernel for trapping obstacles -- Inverse scattering by obstacles.