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math.SP2004
Resonances on some geometrically finite hyperbolic manifolds
Colin Guillarmou
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 bou…
math.SP2004★ 2 cited
Absence of resonance near the critical line on asymptotically hyperbolic spaces
Colin Guillarmou
As 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…
math.SP2003★ 3 cited
Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
Colin Guillarmou
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 `ev…