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006			m o d |
007			cr cnu||||||||
008			240724s1994 xx o ||||0 eng d
020			_a9780821877647 _q(electronic bk.)
020			_z9780821851852
035			_a(MiAaPQ)EBC5295211
035			_a(Au-PeEL)EBL5295211
035			_a(OCoLC)1037815146
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA614.95 .G46 1994
082	0		_a516.3/62
100	1		_aBrooks, Robert.
245	1	0	_aGeometry of the Spectrum.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1994.
264		4	_c©1994.
300			_a1 online resource (314 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics Series ; _vv.173
505	0		_aIntro -- Contents -- An inverse problem and spectral invariants for billiards -- Spherical functions and transforms on finite upper half planes: Eigenvalues of the combinatorial Laplacian, uncertainty, traces -- 1. Introduction. -- 2. Finite Upper Half Planes Hq and Their Spherical Functions. -- 3. Aspects of Spherical Fourier Analysis on Hq. -- 3.1. The Uncertainty Principle for the Spherical Transform. -- 3.2. Selberg's Trace Formula for the Spherical Transform. -- LP spectral geometry -- An LP spectral bootstrap theorem -- Finite part of spectrum and isospectrality -- Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator -- Convergence of the eigenvalues of Laplacians in a class of finite graphs -- Isospectral closed Riemannian manifolds which are not locally isometric, Part II -- The length spectrum and representation theory on two and three-step nilpotent Lie groups -- A few remarks on the billiard ball problem -- Hyperbolic cusp forms and spectral simplicity on compact hyperbolic surfaces -- Inverse boundary problems on Riemannian manifolds -- Spectral theory of the differential Laplacian on the modified Koch curve -- Conjugate geodesic flows in negatively curved manifolds -- Variétés isospectrales et représentations de groupes -- On differences of eigenvalues for flat tori and hyperbolic surfaces -- Combinatorics of free product graphs -- A discrete analogue of periodic magnetic Schrödinger operators.
520			_aSpectral geometry runs through much of contemporary mathematics, drawing on and stimulating developments in such diverse areas as Lie algebras, graph theory, group representation theory, and Riemannian geometry. The aim is to relate the spectrum of the Laplace operator or its graph-theoretic analogue, the adjacency matrix, to underlying geometric and topological data. This volume brings together papers presented at the AMS-IMS-SIAM Joint Summer Research Conference on Spectral Geometry, held in July 1993 at the University of Washington in Seattle. With contributions from some of the top experts in the field, this book presents an excellent overview of current developments in spectral geometry.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aSpectral geometry-Congresses.
655		4	_aElectronic books.
700	1		_aGordon, Carolyn.
700	1		_aPerry, Peter.
776	0	8	_iPrint version: _aBrooks, Robert _tGeometry of the Spectrum _dProvidence : American Mathematical Society,c1994 _z9780821851852
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295211 _zClick to View
999			_c136260 _d136260