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We show the analytic continuation of the resolvent of the Laplacian on asymptotically hyperbolic spaces on differential forms, including high energy estimates in strips.
On the existence and the regularity of solutions of linear pseudo-differential equations
Lars Hörmander · 1971
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Fourier integral operators, II
J. J. Duistermaat and L. Hörmander · 1972
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The differential form spectrum of hyperbolic space
Harold Donnelly · 1980
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Spectral geometry of singular Riemannian spaces
Jeff Cheeger · 1983
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Conformal invariants
Charles Fefferman and C. Robin Graham · 1984
Earlier work this paper cites.
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
R. Mazzeo and R. B. Melrose · 1987
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The Hodge cohomology of a conformally compact metric
R. Mazzeo · 1988
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Einstein metrics with prescribed conformal infinity on the ball
C. Robin Graham and John M. Lee · 1991
Cited alongside, same era.
Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces
R. B. Melrose · 1994
Cited alongside, same era.
On the differential form spectrum of hyperbolic manifolds
Gilles Carron and Emmanuel Pedon · 2004
Cited alongside, same era.
Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
Colin Guillarmou · 2005
Cited alongside, same era.
Inhomogeneous ambient metrics
C. Robin Graham and Kengo Hirachi · 2008
Cited alongside, same era.
Eleven dimensional supergravity on edge manifolds
Joshua M. Kantor · 2009
Cited alongside, same era.
Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds
Colin Guillarmou, Sergiu Moroianu, and Jinsung Park · 2010
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Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces
A. Vasy · 2010
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Propagation of singularities around a Lagrangian submanifold of radial points
N. Haber and A. Vasy · 2011
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Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates
A. Vasy · 2011
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The ambient metric
Charles Fefferman and C. Robin Graham · 2012
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Asymptotics of radiation fields in asymptotically Minkowski space
D. Baskin, A. Vasy, and J. Wunsch
Cited in the paper.
Gluing semiclassical resolvent estimates via propagation of singularities
K. Datchev and A. Vasy
Cited in the paper.
The relationship of asymptotically hyperbolic and de Sitter analysis with a global problem
A. Vasy
Cited in the paper.
R. Gover, E. Latini, and A. Waldron · 2012
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