79 citations · 169 across the 18 of their papers we have counts for
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Absence of eigenvalue at the bottom of the continuous spectrum on asymptotically hyperbolic manifolds
Jean-Marc Bouclet
For a class of asymptotically hyperbolic manifolds, we show that the bottom of the continuous spectrum of the Laplace-Beltrami operator is not an eigenvalue. Our approach only uses…
Semiclassical Resonances of Schrödinger operators as zeroes of regularized determinants
Jean-Marc Bouclet, Vincent Bruneau
We prove that the resonances of long range perturbations of the (semiclassical) Laplacian are the zeroes of natural perturbation determinants. We more precisely obtain factorizatio…
Resolvent estimates for the Laplacian on asymptotically hyperbolic manifolds
Jean-Marc Bouclet
We prove high energy estimates for the boundary values of the weighted resolvent of the Laplacian on an asymptotically hyperbolic manifold. Our point is to use weights that fit the…
Generalized scattering phases for asymptotically hyperbolic manifolds
Jean-Marc Bouclet
We define scattering phases associated to pairs of Laplacians on asymptotically hyperbolic manifolds, and prove some spectral asymptotics for them. These result are applications of…