Scattering poles for asymptotically hyperbolic manifolds

Transactions of the American Mathematical Society

Volumn 354, Issue 3, 2002, Pages 1215-1231

  Borthwick, David ^a   Perry, Peter ^a  

^a EMORY UNIVERSITY   (United States)

Author keywords

Hyperbolic manifolds; Scattering resonances

Indexed keywords

EID: 0035993972     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-01-02906-3     Document Type: Article

References (31)

1. A perturbation theory for resonances
2. A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank
3. An operator generalization of the logarithmic residue theorem and the theorem of Rouché
4. Upper bounds on the number of resonances for non-compact Riemann surfaces
5. Polynomial bounds on the number of resonances for some complete spaces of constant curvature
6. Scattering asymptotics for Riemann surfaces
7. Link between scattering resonances and dilation-analytic resonances in few-body quantum mechanics
8. Local distortion technique, resonances, and poles of the S-matrix
9. Resonances in an abstract analytic scattering theory
10. Inverse scattering on asymptotically hyperbolic manifolds
11. Generic simplicity of resonances
12. The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
13. Translation representation for automorphic solutions of the non-Euclidean wave equation I, II, III
14. The Hodge cohomology of a conformally compact metric
15. Elliptic theory of edge operators
16. Unique continuation at infinity and embedded eigenvalues for asymptotically hyperbolic manifolds
17. Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
18. The Selberg zeta-function of a Kleinian group
19. Divisor of Selberg's zeta function for Kleinian groups
20. The Laplace operator on a hyperbolic manifold, II. Eisenstein series and the scattering matrix
21. The Selberg zeta function and a local trace formula for Kleinian groups
22. Lower bounds on the number of scattering poles
23. Generic properties of eigenfunctions
24. Counting scattering poles
25. Dimension of the limit set and density of resonances for convex co-compact hyperbolic quotients
26. Resonances in physics and geometry