Upper and Lower Bounds on Resonances for Manifolds Hyperbolic Near Infinity

DOI10.1080/03605300802031598zbMath1168.58012arXiv0710.3894OpenAlexW2127447602MaRDI QIDQ3532808

David Borthwick

Publication date: 28 October 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3894

zbMATH Keywords

resonancesPoisson formulaasymptotically hyperbolic

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Scattering theory of linear operators (47A40) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items

Hyperfunctions in hyperbolic geometry ⋮ Scattering phase asymptotics with fractal remainders ⋮ Analytic continuation of weighted Bergman kernels ⋮ Distribution of resonances for analytic asymptotically hyperbolic spaces ⋮ Resolvent of the Laplacian on geometrically finite hyperbolic manifolds ⋮ Inverse scattering results for manifolds hyperbolic near infinity ⋮ On the spectral theory and dynamics of asymptotically hyperbolic manifolds ⋮ Wave decay on convex co-compact hyperbolic manifolds

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