Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds II: spectral measure, restriction theorem, spectral multiplier

Xi Chen, Andrew Hassell

Type: Preprint

Publication Date: 2014-01-01

Citations: 6

DOI: https://doi.org/10.48550/arxiv.1412.4427

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+	Local smoothing estimates for Schr\"odinger equations on hyperbolic space	2018	Andrew Lawrie Jonas Lührmann Sung‐Jin Oh Sohrab Shahshahani
+	The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity	2016	Antônio Sá Barreto Yiran Wang
+	Existence and stability of Schr\"odinger solitons on noncompact manifolds.	2018	David Borthwick Roland Donninger Enno Lenzmann Jeremy L. Marzuola
+ PDF Chat	The Sobolev inequalities on real hyperbolic spaces and eigenvalue bounds for Schrödinger operators with complex potentials	2022	Xi Chen
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Works Cited by This (28)

Action	Title	Year	Authors
+ PDF Chat	The Hodge cohomology of a conformally compact metric	1988	Rafe Mazzeo
+	Classical and modern Fourier analysis	2003	Loukas Grafakos
+	Spectral properties of Schrödinger operators and time-decay of the wave functions	1979	Arne Jensen Tosio Kato
+	Stein-Tomas Restriction Theorem via Spectral Measure on Metric Measure Spaces	2015	Xi Chen
+ PDF Chat	Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds	1982	Jeff Cheeger M. Gromov Michael E. Taylor
+ PDF Chat	The spectral projections and the resolvent for scattering metrics	1999	Andrew Hassell András Vasy
+ PDF Chat	Restriction and spectral multiplier theorems on asymptotically conic manifolds	2013	Colin Guillarmou Andrew Hassell Adam Sikora
+	Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds	2005	Colin Guillarmou
+	Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups	1988	E. B. Davies N. Mandouvalos
+ PDF Chat	Wave and Klein–Gordon equations on hyperbolic spaces	2014	Jean-Philippe Anker Vittoria Pierfelice