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＜E-Book＞
Spectral geometry / Alex H. Barnett, Carolyn S. Gordon, Peter A. Perry, Alejandro Uribe, editors
(Proceedings of symposia in pure mathematics. ISSN:00820717 (print) ; v. 84)

Publisher	(Providence, Rhode Islands : American Mathematical Society)
Year	[2012]
Size	1 online resource (1 online resource (ix, 339 pages : illustrations))
Authors	*International Conference on Spectral Geometry (2010 Dartmouth College) Barnett, Alex 1972 December 7- editor of compilation
Subjects	LCSH:Spectral geometry -- Congresses  All Subject Search FREE:Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Isospectrality  All Subject Search FREE:Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory  All Subject Search FREE:Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity  All Subject Search FREE:Numerical analysis -- Partial differential equations, boundary value problems -- Eigenvalue problems  All Subject Search FREE:Partial differential equations -- Spectral theory and eigenvalue problems -- Estimation of eigenvalues, upper and lower bounds  All Subject Search FREE:Number theory -- Discontinuous groups and automorphic forms -- Spectral theory; Selberg trace formula  All Subject Search FREE:Differential geometry -- Global differential geometry -- Global Riemannian geometry, including pinching  All Subject Search FREE:Ordinary differential equations -- Ordinary differential operators -- Eigenvalues, estimation of eigenvalues, upper and lower bounds  All Subject Search FREE:Ordinary differential equations -- Asymptotic theory -- Asymptotic expansions  All Subject Search FREE:Manifolds and cell complexes -- Differential topology -- Topology and geometry of orbifolds  All Subject Search
Contents	Introduction to spectral theory on hyperbolic surfaces / David Borthwick Orbifolds and their spectra / Carolyn Gordon A brief introduction to semiclassical analysis / Alejandro Uribe and Zuoqin Wang The dynamics of the Schrödinger flow from the point of view of semiclassical measures / Nalini Anantharaman and Fabricio Macià Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths / Gregory Berkolaiko and Peter Kuchment Investigating the spectral geometry of a soft wall / Jeffrey Bouas, Stephen Fulling, Fernando Mera, Krishna Thapa, Cynthia Trendafilova and Jef Wagner Equivariant inverse spectral problems / Emily B. Dryden, Victor Guillemin and Rosa Sena-Dias Classical equivalence and quantum equivalence of magnetic fields on Flat Tori / Carolyn Gordon, William Kirwin, Dorothee Schueth and David Webb A semiclassical heat trace expansion for the perturbed harmonic oscillator / Victor Guillemin, Alejandro Uribe and Zuoqin Wang Estimates on Neumann eigenfunctions at the boundary, and the “method of particular solutions” for computing them / Andrew Hassell and Alex Barnett Recent progress on the quantum unique ergodicity conjecture / Peter Sarnak Lower bounds for volumes of nodal sets: An improvement of a result of Sogge-Zelditch / Hamid Hezari and Zuoqin Wang The nodal set of a finite sum of Maass cusp forms is a graph / Chris Judge Asymptotics of spectral quantities of Schrödinger operators / Thomas Kappeler, Beat Schaad and Peter Topalov On the nodal lines of random and deterministic Laplace eigenfunctions / Igor Wigman Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds, I / Steven Zelditch
Notes	Includes bibliographical references http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1347 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1348 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1349 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1351 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1352 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1353 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1354 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1355 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1356 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1357 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1361 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1358 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1359 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1360 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1362 http://www.ams.org/pspum/084 http://dx.doi.org/10.1090/pspum/084/1363 Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/pspum/084 Information=Contents HTTP:URL=http://dx.doi.org/10.1090/pspum/084 Information=Contents

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