Upper Bounds on the Number of Resonances for Non-compact Riemann Surfaces

Laurent Guillopé

Type: Article

Publication Date: 1995-05-01

Citations: 105

DOI: https://doi.org/10.1006/jfan.1995.1055

View Publication

Locations

Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+	Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity	1995	Laurent Guillopé Maciej Zworski
+	Resonances on some geometrically finite hyperbolic manifolds	2004	Colin Guillarmou
+	Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds	2013	David Borthwick Colin Guillarmou
+	Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds	2013	David Borthwick Colin Guillarmou
+	Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth	2010	David Borthwick T. J. Christiansen Peter D. Hislop Peter Perry
+	Growth Estimates and Resonance Bounds	2016	David Borthwick
+ PDF Chat	Resonance-free regions for negatively curved manifolds with cusps	2018	Yannick Guedes Bonthonneau
+ PDF Chat	Resonances on Some Geometrically Finite Hyperbolic Manifolds	2006	Colin Guillarmou
+	Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces	2015	Joachim Hilgert Angela Pasquale Tomasz Przebinda
+	Distribution of resonances for analytic asymptotically hyperbolic spaces	2019	Yiran Wang
+ PDF Chat	Upper and Lower Bounds on Resonances for Manifolds Hyperbolic Near Infinity	2008	David Borthwick
+	Upper and lower bounds on resonances for manifolds hyperbolic near infinity	2007	David Borthwick
+	Upper and lower bounds on resonances for manifolds hyperbolic near infinity	2007	David Borthwick
+ PDF Chat	Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds	2016	David Borthwick Colin Guillarmou
+	Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces	2016	Joachim Hilgert Angela Pasquale Tomasz Przebinda
+	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 bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends	2024	Malo Jézéquel
+ PDF Chat	Lower bounds for resonances of infinite-area Riemann surfaces	2010	Dmitry Jakobson Frédéric Naud
+	Resonances for the Laplacian: the cases $BC_2$ and $C_2$ (except $SO_0(p,2)$ with $p>2$ odd)	2015	J. Hilgert A. Pasquale T. Przebinda
+	Sharp Bounds on the Number of Resonances for Conformally Compact Manifolds with Constant Negative Curvature Near Infinity	2003	Claudio Cuevas Georgi Vodev

Works That Cite This (100)

Action	Title	Year	Authors
+ PDF Chat	Dynamics of KdV Solitons in the Presence of a Slowly Varying Potential	2011	Justin Holmer
+	Trends in Mathematics	2008	Ralph Meyer Thomas Schick Yuri Tschinkel
+ PDF Chat	Dynamics of asymptotically hyperbolic manifolds	2009	Julie Rowlett
+	Inverse problems in spectral geometry	2011	Kiril Datchev Hamid Hezari
+	UNIFORM ESTIMATES OF THE RESOLVENT OF THE LAPLACE –BELTRAMI OPERATOR ON INFINITE VOLUME RIEMANNIAN MANIFOLDS WITH CUSPS	2002	Georgi Vodev
+	Near optimal spectral gaps for hyperbolic surfaces	2023	Will Hide Michael Magee
+	Liouville Quantum Gravity and Polyakov's formulation of $2d$ string theory in genus $g\geq 2$	2016	Colin Guillarmou Rémi Rhodes Vincent Vargas
+	Zero is a resonance of every Schottky surface	2018	Alexander Adam Anke Pohl Alexander Weiße
+	Poisson Formula for Resonances in Even Dimensions	1999	Maciej Zworski
+	Computations of eigenvalues and resonances on perturbed hyperbolic surfaces with cusps	2018	Michael Levitin Alexander Strohmaier

Works Cited by This (0)

Action	Title	Year	Authors