Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
From MaRDI portal
Publication:2566601
DOI10.1215/S0012-7094-04-12911-2zbMath1099.58011arXivmath/0311424OpenAlexW2003431575MaRDI QIDQ2566601
Publication date: 26 September 2005
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0311424
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25)
Related Items
Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordström black hole, Resolvent estimates for spacetimes bounded by Killing horizons, A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem, Chern-Simons line bundle on Teichmüller space, Resolvent and Spectral Measure on Non-Trapping Asymptotically Hyperbolic Manifolds II: Spectral Measure, Restriction Theorem, Spectral Multipliers, Spectral gaps, additive energy, and a fractal uncertainty principle, Hyperfunctions in hyperbolic geometry, Fractal Weyl laws for asymptotically hyperbolic manifolds, Resonances for symmetric tensors on asymptotically hyperbolic spaces, Boundary connected sum of Escobar manifolds, Asymptotics of the Poisson kernel and Green's functions of the fractional conformal Laplacian, Poincaré-Lovelock metrics on conformally compact manifolds, Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov), THE RENORMALIZED VOLUME AND UNIFORMIZATION OF CONFORMAL STRUCTURES, The eleven-dimensional supergravity equations on edge manifolds, Analytic continuation of weighted Bergman kernels, Fractional Laplacian in conformal geometry, Elliptic parametrices in the 0-calculus of Mazzeo and Melrose, A de Sitter no-hair theorem for 3+1d cosmologies with isometry group forming 2-dimensional orbits, Distribution of resonances for analytic asymptotically hyperbolic spaces, Resonances and residue operators for pseudo-Riemannian hyperbolic spaces, Decay of the local energy for the charged Klein-Gordon equation in the exterior de Sitter-Reissner-Nordström spacetime, Recovery of black hole mass from a single quasinormal mode, Scattering on singular Yamabe spaces, Propagation through trapped sets and semiclassical resolvent estimates, Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole, Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields, A nonlinear Poisson transform for Einstein metrics on product spaces, Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds. III: Global-in-time Strichartz estimates without loss, Scattering and inverse scattering on ACH manifolds, Classical and quantum resonances for hyperbolic surfaces, The heat kernel on asymptotically hyperbolic manifolds, Analytic torsion on manifolds with edges, Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds, Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry, Bergman and Calderón projectors for Dirac operators, Inverse scattering with disjoint source and observation sets on asymptotically hyperbolic manifolds, Resolvent of the Laplacian on geometrically finite hyperbolic manifolds, The scattering operator on asymptotically hyperbolic manifolds, Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces, Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric, Spectral gaps without the pressure condition, Limit of fractional power Sobolev inequalities, On the scattering operators for ACHE metrics of Bergman type on strictly pseudoconvex domains, Resonances for obstacles in hyperbolic space, Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces, Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes, Elliptic boundary value problems for Bessel operators, with applications to anti-de Sitter spacetimes, Relatively Isospectral Noncompact Surfaces, Mathematical study of scattering resonances, Counting Function of Characteristic Values and Magnetic Resonances, Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces, Asymptotics of Solutions of the Wave Equation on de Sitter-Schwarzschild Space, Conformal harmonic forms, Branson-Gover operators and Dirichlet problem at infinity, Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric, Resolvents, Poisson operators and scattering matrices on asymptotically hyperbolic and de Sitter spaces, On the spectral theory and dynamics of asymptotically hyperbolic manifolds, Conformal metrics with prescribed fractional scalar curvature on conformal infinities with positive fractional Yamabe constants, Isoscattering deformations for complete manifolds of negative curvature, Analytic continuation and high energy estimates for the resolvent of the Laplacian on forms on asymptotically hyperbolic spaces, On higher-dimensional singularities for the fractional Yamabe problem: a nonlocal mazzeo-pacard program, On quasinormal modes of asymptotically anti-de Sitter black holes, Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy, Renormalizing curvature integrals on Poincaré-Einstein manifolds, Resonances and residue operators for symmetric spaces of rank one, Kac-Moody and Virasoro characters from the perturbative Chern-Simons path integral, The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity, Dynamics and Zeta functions on conformally compact manifolds, Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets, The wave equation on asymptotically de Sitter-like spaces, Ricci flow and volume renormalizability, Residue families, singular Yamabe problems and extrinsic conformal Laplacians, Compactness of relatively isospectral sets of surfaces via conformal surgeries, PROPAGATION OF SINGULARITIES ON AdS SPACETIMES FOR GENERAL BOUNDARY CONDITIONS AND THE HOLOGRAPHIC HADAMARD CONDITION, Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification, Radiation fields, scattering, and inverse scattering on asymptotically hyperbolic manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Radiation fields, scattering, and inverse scattering on asymptotically hyperbolic manifolds
- Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
- The Hodge cohomology of a conformally compact metric
- Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group
- Distribution of resonances for spherical black holes
- Scattering asymptotics for Riemann surfaces
- Scattering matrix in conformal geometry
- Inverse scattering on asymptotically hyperbolic manifolds.
- The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein
- Upper bounds on the number of resonances for non-compact Riemann surfaces
- Scattering poles for asymptotically hyperbolic manifolds
- The Selberg zeta function and a local trace formula for Kleinian groups.
- The Laplace operator on a hyperbolic manifold. II. Eisenstein series and the scattering matrix.
- A perturbation theory of resonances
- Sharp Bounds on the Number of Resonances for Conformally Compact Manifolds with Constant Negative Curvature Near Infinity
- Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds