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• W1706097225 abstract "We define the forward and backward radiation fields on an asymptotically hyperbolic manifold and show that they give unitary translation representations of the wave group and as such can be used to define a scattering matrix. We show that this scattering matrix is equivalent to the one defined by stationary methods. Furthermore, we prove a support theorem for the radiation fields which generalizes to this setting well-known results of Helgason [23] and Lax and Phillips [35] for the horocyclic Radon transform. As an application, we use the boundary control method of Belishev [4] to show that an asymptotically hyperbolic manifold is determined up to invariants by the scattering matrix at all energies." @default.
• W1706097225 created "2016-06-24" @default.
• W1706097225 creator A5029437420 @default.
• W1706097225 date "2005-09-15" @default.
• W1706097225 modified "2023-10-06" @default.
• W1706097225 title "Radiation fields, scattering, and inverse scattering on asymptotically hyperbolic manifolds" @default.
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• W1706097225 doi "https://doi.org/10.1215/s0012-7094-05-12931-3" @default.
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