Resonances and scattering poles on asymptotically hyperbolic manifolds

Colin Guillarmou

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Resonances and scattering poles on asymptotically hyperbolic manifolds

Colin Guillarmou

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Abstract

On 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.

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BibTeX RIS

Colin Guillarmou. 2004-03-31. Resonances and scattering poles on asymptotically hyperbolic manifolds. https://arxiv.org/abs/math/0403545

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