Sharp Bounds on the Number of Resonances for Conformally Compact Manifolds with Constant Negative Curvature Near Infinity

Claudio Cuevas, Georgi Vodev

Type: Article

Publication Date: 2003-01-09

Citations: 18

DOI: https://doi.org/10.1081/pde-120024529

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Locations

Communications in Partial Differential Equations - View

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+	Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds	2003	Colin Guillarmou
+ PDF Chat	Generalized scattering phases for asymptotically hyperbolic manifolds	2004	Jean‐Marc Bouclet
+ PDF Chat	Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends	2024	Malo Jézéquel
+	Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends	2013	David Borthwick Pascal Philipp
+	Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds	2005	Colin Guillarmou
+	Sharp upper bounds on resonances for perturbations of hyperbolic space	2009	David Borthwick
+	Resonances for Manifolds Hyperbolic Near Infinity: Optimal Lower Bounds on Order of Growth	2010	David Borthwick T. J. Christiansen Peter D. Hislop Peter Perry
+ PDF Chat	Upper and Lower Bounds on Resonances for Manifolds Hyperbolic Near Infinity	2008	David Borthwick
+ PDF Chat	Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds	2016	David Borthwick Colin Guillarmou
+ PDF Chat	Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends	2014	David Borthwick Pascal Philipp

Works Cited by This (10)

Action	Title	Year	Authors
+	Sharp bounds on the number of scattering poles in even-dimensional spaces	1994	Georgi Vodev
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+ PDF Chat	Fonctions Zêta de Selberg et Surfaces de Géométrie Finie	2018	Laurent Guillopé
+	Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature	1987	Rafe Mazzeo Richard Melrose
+	Scattering Asymptotics for Riemann Surfaces	1997	Laurent Guillopé Maciej Zworski
+	Upper Bounds on the Number of Resonances for Non-compact Riemann Surfaces	1995	Laurent Guillopé
+	The divisor of Selberg's zeta function for Kleinian groups	2001	S. J. Patterson Peter Perry
+	Distribution of Zeros of Entire Functions	1964	Б. В. Левин
+ PDF Chat	On the distribution of scattering poles for perturbations of the Laplacian	1992	Georgi Vodev
+	Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity	1995	Laurent Guillopé Maciej Zworski