Resonances on some geometrically finite hyperbolic manifolds

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We 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.
18 pages, 3 figures

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Spectral Theory, Differential Geometry, 58J50

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http://salesiana.dossiersoluciones.com/handle/123456789/73467

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412064
 http://arxiv.org/abs/math/0412064

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arXiv