Resonances on some geometrically finite hyperbolic manifolds

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dc.creatorGuillarmou, Colin
dc.date2004-12-02
dc.date.accessioned2026-07-07T05:14:55Z
dc.date.available2026-07-07T05:14:55Z
dc.descriptionWe prove the meromorphic extension to C for the resolvent of the Laplacian on a class of geometrically finite hyperbolic manifolds with infinite volume and we give a polynomial bound on the number of resonances. This class notably contains the geometrically finite quotients with rational non-maximal rank cusps previously studied by Froese-Hislop-Perry.
dc.description18 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0412064
dc.identifierhttp://arxiv.org/abs/math/0412064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73467
dc.subjectSpectral Theory
dc.subjectDifferential Geometry
dc.subject58J50
dc.titleResonances on some geometrically finite hyperbolic manifolds
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