Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends

Abstract

We prove a polynomial upper bound on the number of resonances in a disc whose radius tends to infinity for even asymptotically hyperbolic manifolds with real-analytic ends. Our analysis also gives a similar upper bound on the number of quasinormal frequencies for Schwarzschild-de Sitter spacetimes.

v2: Revision according to referees comments

References in corpus (2)

• Quasinormal modes of small Schwarzschild-de Sitter black holes
• Scattering rigidity for analytic metrics