Resonances and scattering poles on asymptotically hyperbolic manifolds

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dc.creatorGuillarmou, Colin
dc.date2004-03-31
dc.date.accessioned2026-07-07T05:06:56Z
dc.date.available2026-07-07T05:06:56Z
dc.descriptionOn an asymptotically hyperbolic manifold (X,g), we show that the resolvent resonances coincide, with multiplicities, with the poles of the renormalized scattering operator, except for the special points n/2-k (with k>0 integer) where an additional term appears: this is the dimension of the kernel of the k-conformal Laplacian on the boundary when (X,g) is Einstein.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0403545
dc.identifierhttp://arxiv.org/abs/math/0403545
dc.identifierMath. Res. Lett. 12 (2005), no. 1, 103--119.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70664
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.subject58J50, 35P25
dc.titleResonances and scattering poles on asymptotically hyperbolic manifolds
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