Uniform distribution of eigenfunctions on compact hyperbolic surfaces

Steven Zelditch

Type: Article

Publication Date: 1987-12-01

Citations: 567

DOI: https://doi.org/10.1215/s0012-7094-87-05546-3

View Publication

Locations

Duke Mathematical Journal - View

Similar Works

Action	Title	Year	Authors
+	Eigenvalue asymptotics for almost flat compact hypersurfaces	2012	D. I. Borisov Pedro Freitas
+	Eigenvalue Distribution of Compact Operators	1986	Hermann König
+	Eigenvalue distribution of compact operators	1986	Albrecht Pietsch
+	Boundedness of spectral projectors on hyperbolic surfaces	2023	Jean-Philippe Anker Pierre Germain Tristan Léger
+	Asymptotic properties of eigenfunctions— the hyperbolic plane	1992	Harold Donnelly
+	Spectral asymptotics of hypersurfaces	1978	Harold Widom
+	Eigenfunctions of the Laplacians on a real hyperbolic space	1974	勝弘峰村
+	Ultradistributional Boundary Values of Holomorphic Functions	1993	R. D. Carmichael R. S. Pathak Stevan Pilipović
+	Bounded Components of Meromorphic Functions	2010	Qiu Ling
+ PDF Chat	On the Structure of Hyperfunctions with Compact Supports	1971	Akira Kaneko
+	Bounded Discrete Holomorphic Functions on the Hyperbolic Plane	2018	Ivan Dynnikov
+	On the distribution of the eigenvalues of the hyperbolic Laplacian for PSL (2,Z)	2000	C. J. Mozzochi
+	Quasiasymptotic behavior of Fourier hyperfunctions	1980	V. V. Zharinov
+	Eigenfunctions of the Laplacian on a hermitian hyperbolic space	1974	Katsuhiro Minemura
+ PDF Chat	Bounded eigenfunctions in the real Hyperbolic space	2005	Sandrine Grellier Jean-Pierre Otal
+	Regularity and decay of eigenfunctions	1978	Werner Stork
+	EIGENVALUES OF UNIFORMLY ELLIPTIC OPERATORS	2016	James R. KUTTLERt
+	Sharp Estimates for Dirichlet Eigenfunctions in Simply Connected Domains	1996	Rodrigo Bañuelos
+	Ultradistributional Boundary Values for a Class of Holomorphic Functions	1988	Stevan Pilipović
+	Decay of eigenfunctions on Riemannian manifolds	1988	Harold Donnelly

Works That Cite This (503)

Action	Title	Year	Authors
+	Eisenstein Quasimodes and QUE	2014	Shimon Brooks
+	Concentration of symmetric eigenfunctions	2010	Daniel Azagra Fabricio Macià
+ PDF Chat	A Semiclassical Egorov Theorem and Quantum Ergodicity for Matrix Valued Operators	2004	Jens Bolte Rainer Glaser
+ PDF Chat	Quantum Ergodicity on Regular Graphs	2017	Nalini Anantharaman
+ PDF Chat	Small Scale Equidistribution of Random Eigenbases	2016	Xiaolong Han
+	Quantum variance for dihedral Maass forms	2022	Bingrong Huang Stephen Lester
+ PDF Chat	Correction to: Equidistribution of Eisenstein Series in the Level Aspect	2020	Ikuya Kaneko Shin-ya Koyama
+ PDF Chat	Pseudo-Differential Calculus on Homogeneous Trees	2013	E. Masson
+ PDF Chat	Infinite ascension limit: Horocyclic chaos	2020	Mikhail Dubashinskiy
+ PDF Chat	Strong Scarring of Logarithmic Quasimodes	2017	Suresh Eswarathasan Stéphane Nonnenmacher

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	Approximate eigenfunctions of the Laplacian	1977	James Ralston
+	Selberg trace formulae, pseudodifferential operators, and geodesic periods of automorphic forms	1988	Steven Zelditch
+	The averaging method and Ergodic theory for pseudo-differential operators on compact hyperbolic surfaces	1989	Steven Zelditch
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander
+	Pseudo-differential analysis on hyperbolic surfaces	1986	Steven Zelditch
+	Eigenvalue distribution theorems for certain homogeneous spaces	1979	Harold Widom
+	On the spectrum of positive elliptic operators and periodic bicharacteristics	1975	J. J. Duistermaat Victor Guillemin
+	On the wave equation on a compact Riemannian manifold without conjugate points	1977	Pierre Bérard
+	Special Functions and the Theory of Group Representations	1968	N. I︠a︡. Vilenkin
+	The spectrum of positive elliptic operators and periodic bicharacteristics	1975	J. J. Duistermaat Victor Guillemin