Spectral Theory for Riemannian Manifolds with Cusps and a Related Trace Formula

Werner Müller

Type: Article

Publication Date: 1983-01-01

Citations: 99

DOI: https://doi.org/10.1002/mana.19831110109

View Publication

Locations

Mathematische Nachrichten - View

Similar Works

Action	Title	Year	Authors
+	The Point Spectrum and Spectral Geometry for R<scp>iemann</scp>ian Manifolds with Cusps	1986	Werner Müller
+	Topics in spectral theory of Schrodinger operators on non-compact Riemannian manifolds with cusps	1995	Shmuel Agmon
+	On the Mertens conjecture for cusp forms	1982	Frieder Grupp
+	On Modular Cusp Forms and their Reproducing Kernel	1976	Ernst A. Schwandt
+	Corrigendum to “On the Frobenius manifolds for cusp singularities” [Adv. Math. 273 (2015) 485–522]	2015	Atsushi Takahashi Yuuki Shiraishi
+	A Cheeger-Muller theorem for manifolds with cusps	2016	David A. Sher
+ PDF Chat	Cheeger–Müller theorem on manifolds with cusps	2018	Boris Vertman
+	On the Mertens conjecture for cusp forms	1979	Robert J. Anderson
+	The Laplace operator on hyperbolic three manifolds with cusps of non-maximal rank	1991	Richard Froese Peter D. Hislop Peter Perry
+	On geometric density of Hecke eigenvalues for certain cusp forms	2009	Goran Muić
+ PDF Chat	Period Functions for Maass Cusp Forms for Γ0(p): A Transfer Operator Approach	2012	Anke Pohl
+	Aspects of the Seiberg-Witten equations on manifolds with cusps	2013	LF Di Cerbo
+	The spectrum of Schrödinger operators and Hodge Laplacians on conformally cusp manifolds	2011	Sylvain Golénia Sergiu Moroianu
+	Spinor Calculus in Riemannian Manifolds	1966	F. Čap W. Majerotto W. Raab P. Unteregger
+	Trace Formula for a Nonpositively Curved Manifold (幾何学と大域解析学)	1979	Toshikazu Sunada
+	Trace Formula for a Nonpositively Curved Manifold (幾何学と大域解析学)	1979	利一砂田
+	On the Mertens conjecture for cusp forms, <i>Corrigendum</i>	1980	Robert J. Anderson
+ PDF Chat	Spectral multiplicity for 𝐺𝑙_{𝑛}(𝑅)	1992	J. M. Huntley
+	Resonances for the Laplacian on Riemannian symmetric spaces: The case of 𝑆𝐿(3,ℝ)/𝕊𝕆(3)	2017	Joachim Hilgert Angela Pasquale Tomasz Przebinda
+ PDF Chat	The Siegel-Walfisz theorem for Rankin-Selberg L-functions associated with two cusp forms	2000	Yumiko Ichihara

Works That Cite This (91)

Action	Title	Year	Authors
+ PDF Chat	Analytic torsion for surfaces with cusps II. Regularity, asymptotics and curvature theorem	2020	Siarhei Finski
+ PDF Chat	Some constructions for the fractional Laplacian on noncompact manifolds	2015	Valeria Banica María del Mar González Mariel Sáez
+ PDF Chat	Eta invariants and regularized determinants for odd dimensional hyperbolic manifolds with cusps	2005	Jinsung Park
+ PDF Chat	Fredholm, Hodge and Liouville Theorems on Noncompact Manifolds	1987	Robert Lockhart
+ PDF Chat	Dynamics of asymptotically hyperbolic manifolds	2009	Julie Rowlett
+	Complex powers on noncompact manifolds and manifolds with singularities	1988	Elmar Schrohe
+	Weyl laws for manifolds with hyperbolic cusps	2015	Yannick Guedes Bonthonneau
+	None	2002	Andrey Svetlov
+	Asymptotics of the determinant of the Laplacian on hyperbolic surfaces of finite volume	1993	Rolf Lundelius
+ PDF Chat	A regularized heat trace for hyperbolic Riemann surfaces of finite volume	1997	Jay Jorgenson Rolf Lundelius

Works Cited by This (37)

Action	Title	Year	Authors
+ PDF Chat	Asymptotic expansions for the compact quotients of properly discontinuous group actions	1979	Harold Donnelly
+ PDF Chat	On the Functional Equations Satisfied by Eisenstein Series	1976	R. P. Langlands
+ PDF Chat	Complex powers of an elliptic operator	1967	R. Seeley
+	Spectral geometry for certain noncompact Riemannian manifolds	1979	Harold Donnelly
+	On the heat equation and the index theorem	1973	Michael Atiyah R. Bott V. K. Patodi
+ PDF Chat	On the spectral geometry of spaces with cone-like singularities	1979	Jeff Cheeger
+	Asymptotic behalrior of the scattering phase for exterior domains	1978	Arne Jensen Arne Jensen Tosio Kato
+	Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II	1967	Walter Roelcke
+	Essential self-adjointness of powers of generators of hyperbolic equations	1973	Paul R. Chernoff
+ PDF Chat	Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces	1968	Ramesh Gangolli