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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.DG2004
Resonances and scattering poles on asymptotically hyperbolic manifolds
Colin Guillarmou
On an asymptotically hyperbolic manifold (X,g), we show that the resolvent resonances coincide, with multiplicities, with the poles of the renormalized scattering operator, except…