Absence of resonance near the critical line on asymptotically hyperbolic spaces

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dc.creatorGuillarmou, Colin
dc.date2004-06-24
dc.date2005-09-02
dc.date.accessioned2026-07-07T05:09:40Z
dc.date.available2026-07-07T05:09:40Z
dc.descriptionAs a consequence of a result of Cardoso and Vodev, we show that the resolvent of the Laplacian on asymptotically hyperbolic manifolds is analytic in an exponential neighbourhood of the critical line. The case of non-trapping metrics with constant curvature near infinity is also considered: there exists a strip with at most a finite number of resonances.
dc.description13 pages, slight modifications
dc.identifierhttps://arxiv.org/abs/math/0406496
dc.identifierhttp://arxiv.org/abs/math/0406496
dc.identifierAsymptot. Anal. 42 (2005), no. 1-2, 105--121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71665
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject58J50, 35P25
dc.titleAbsence of resonance near the critical line on asymptotically hyperbolic spaces
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