3 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
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…