Euclidean versus Non-Euclidean Aspects in Spectral Geometry

Toshikazu Sunada

Type: Article

Publication Date: 1994-01-01

Citations: 7

DOI: https://doi.org/10.1143/ptps.116.235

View Publication

Locations

Progress of Theoretical Physics Supplement - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Euclidean versus Non-Euclidean Aspects in Spectral Geometry	2013	Toshikazu Sunada
+	Spectral Geometry	2017	Bruno Iochum
+	Spectral Geometry	2017	Bruno Iochum
+	Sobolev algebras on Lie groups and noncommutative geometry	2022	Cédric Arhancet
+	Sobolev algebras on Lie groups and noncommutative geometry	2023	Cédric Arhancet
+	Poincaré series for non-Riemannian locally symmetric spaces	2015	Fanny Kassel Toshiyuki Kobayashi
+	Explorations of Infinitesimal Inverse Spectral Geometry	2013	Mikhail Panine
+	Classical and Noncommutative Geometry	2016	Debashish Goswami Jyotishman Bhowmick
+	Spectral Geometry: An Introduction and Background Material for this Volume	1997	Stig Andersson Michel L. Lapidus
+	Spectral geometry for Schrödinger operators in a magnetic field focusing on geometrical and dynamical structures on manifolds	2003	Ruishi Kuwabara
+ PDF Chat	SPECTRUM OF LAPLACIAN ON NON-COMPACT RIEMANNIAN MANIFOLDS	1998	Detang Zhou
+ PDF Chat	Hidden symmetries and the generic spectral setting of generalized laplacians on homogeneous spaces	2025	Diego S. de Oliveira Marcus A. M. Marrocos
+	Review of spectral theory	2008
+ PDF Chat	Transformation groups in non-Riemannian geometry	2015	Charles Frances
+ PDF Chat	On the geometry of noncommutative spectral theory	1975	Erik M. Alfsen Frederic W. Shultz
+	Hamiltonian point of view of non-Euclidean geometry and elliptic functions	2001	Velimir Jurdjevic
+	Infinite Dimensional Geometry, Noncommutative Geometry, Operator Algebras and Fundamental Interactions	1995
+	Disreteness of the Spectrum for the Schrödinger Operator and Metric Transformation on Manifold	2016	Andrеy Svеtlov
+	Geometry of the Spectrum	1994	Robert Brooks Carolyn S. Gordon Peter Perry
+	Aspects of noncommutative spectral geometry	2017	Apimook Watcharangkool

Works That Cite This (7)

Action	Title	Year	Authors
+	Brownian Motion on the Hyperbolic Plane and Selberg Trace Formula	1999	Nobuyuki Ikeda Hiroyuki Matsumoto
+ PDF Chat	Asymptotic behavior of eigenfunctions and eigenvalues for ergodic and periodic systems	1999	Tatsuya Tate
+ PDF Chat	Калибровочно-периодические точечные возмущения на плоскости Лобачевского	1999	Йоган Брюнинг Jochen Brüning V. A. Geǐler V. A. Geǐler
+	References	1997	Norman E. Hurt
+	Gauge-periodic point perturbations on the Lobachevsky plane	1999	J. Brüning V. A. Geǐler
+ PDF Chat	Quantum ergodicity at a finite energy level	1999	Tatsuya Tate
+ PDF Chat	The Spectrum of Periodic Point Perturbations and the Krein Resolvent Formula	2000	J. Brüning V. A. Geyler

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	Equation de Schrödinger avec champ magnétique et équation de Harper	1989	Bernard Helffer Johannes Sjöstrand
+	Ideas and methods in quantum and statistical physics	1992	Sergio Albeverio Helge Holden Jens Erik Fenstad Tom Lindstrøm
+ PDF Chat	On the spectrum of periodic elliptic operators	1992	Jochen Brüning Toshikazu Sunada
+	Geodesics in homology classes	1987	Ralph S. Phillips Peter Sarnak
+	Riemannian Coverings and Isospectral Manifolds	1985	Toshikazu Sunada
+	An Analogue of the Prime Number Theorem for Closed Orbits of Axiom a Flows	1983	William Parry Mark Pollicott
+	Circular symmetry and the trace formula	1989	Victor Guillemin Alejandro Uribe
+	Density of states in spectral geometry	1993	Toshiaki Adachi Toshikazu Sunada
+	The fundamental group and the spectrum of the laplacian	1981	Robert Brooks
+ PDF Chat	Closed orbits in homology classes	1990	Atsushi Katsuda Toshikazu Sunada