Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds

Colin Guillarmou

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Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds

Colin Guillarmou

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Abstract

We show that the resolvent of the Laplacian on asymptotically hyperbolic spaces extends meromorphically with finite rank poles to the complex plane if and only if the metric is `even' (in a sense). If it is not even, there exist some cases where the resolvent has an essential singularity in the non-physical sheet.

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BibTeX RIS

Colin Guillarmou. 2004-03-29. Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds. https://arxiv.org/abs/math/0311424

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