Analytic continuation and high energy estimates for the resolvent of the Laplacian on forms on asymptotically hyperbolic spaces

DOI10.1016/j.aim.2016.10.041zbMath1357.58032arXiv1206.5454OpenAlexW2963450658MaRDI QIDQ728247

András Vasy

Publication date: 19 December 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5454

zbMATH Keywords

resolventanalytic continuationHodge Laplacianasymptotically hyperbolic spacesasymptotically Minkowski spaceshigh energy estimates

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Wave equation (35L05) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (7)

Projective compactness and conformal boundaries ⋮ Resonances for symmetric tensors on asymptotically hyperbolic spaces ⋮ Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov) ⋮ The eleven-dimensional supergravity equations on edge manifolds ⋮ Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes ⋮ On the positivity of propagator differences ⋮ Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification

Cites Work

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• The Hodge cohomology of a conformally compact metric
• The differential form spectrum of hyperbolic space
• Einstein metrics with prescribed conformal infinity on the ball
• Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds
• Resolvents, Poisson operators and scattering matrices on asymptotically hyperbolic and de Sitter spaces
• On the existence and the regularity of solutions of linear pseudo- differential equations
• Fourier integral operators. II
• Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
• Propagation of Singularities Around a Lagrangian Submanifold of Radial Points
• The Ambient Metric (AM-178)
• Asymptotics of radiation fields in asymptotically Minkowski space
• Gluing Semiclassical Resolvent Estimates via Propagation of Singularities

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