The scattering operator on asymptotically hyperbolic manifolds
classification
🧮 math.AP
keywords
operatorscatteringasymptoticallyformulahyperbolickernelmanifoldsschwartz
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We obtain a formula for the Schwartz kernel of the scattering operator in terms of the Schwartz kernel of the fundamental solution of the wave operator on asymptotically hyperbolic manifolds. If there are no trapped geodesics, this formula is used to show that the scattering operator is a Fourier integral operator that quantizes the scattering relation.
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