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The scattering operator on asymptotically hyperbolic manifolds

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arxiv 1609.02332 v1 pith:375KMO64 submitted 2016-09-08 math.AP

Antônio Sá Barreto , Yiran Wang This is my paper · ORCID
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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