Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends

Article type: Research Article

Authors: Borthwick, David^; | Philipp, Pascal

Affiliations: Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA

Note: [] Corresponding author. E-mail: [email protected]

Abstract: We study the spectral theory of asymptotically hyperbolic manifolds with ends of warped-product type. Our main result is an upper bound on the resonance counting function with a geometric constant expressed in terms of the respective Weyl constants for the core of the manifold and the base manifold defining the ends.

Keywords: spectral theory, resonances, asymptotically hyperbolic

DOI: 10.3233/ASY-141249

Journal: Asymptotic Analysis, vol. 90, no. 3-4, pp. 281-323, 2014