Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds

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dc.creatorGuillarmou, Colin
dc.date2003-11-24
dc.date2004-03-29
dc.date.accessioned2026-07-07T05:03:13Z
dc.date.available2026-07-07T05:03:13Z
dc.descriptionWe 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.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0311424
dc.identifierhttp://arxiv.org/abs/math/0311424
dc.identifierDuke Math. J. 129 (2005), no. 1, 1--37
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69325
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject58J50, 35P25
dc.titleMeromorphic properties of the resolvent on asymptotically hyperbolic manifolds
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