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Geometry of the spectrum : 1993 joint summer research conference on spectral geometry, July 17-23, 1993, University of Washington, Seattle / Robert Brooks, Carolyn Gordon, Peter Perry, editors.

By: AMS-IMS-SIAM Joint Summer Research Conference on Spectral Geometry (1993 : University of Washington, Seattle).
Contributor(s): Brooks, Robert, 1952- [edt] | Gordon, Carolyn, 1950- [edt] | Perry, Peter A [edt].
Material type: materialTypeLabelBookSeries: Contemporary mathematics (American Mathematical Society): v. 173.Publisher: Providence, R.I. : American Mathematical Society, c1994Description: ix, 299 p. : il. ; 26 cm.ISBN: 0821851853.Subject(s): Spectral geometry -- CongressesOther classification: 58-06 (58Jxx)
Contents:
Edoh Y. Amiran, "An inverse problem and spectral invariants for billiards", 1–13 -- Jeff Angel, Steve Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez, "Spherical functions and transforms on finite upper half planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces", 15–70 -- Robert Brooks, "Lp spectral geometry", 71–87 -- Robert Brooks and Paul Glezen, "An Lp spectral bootstrap theorem", 89–97 -- Xianzhe Dai and Guofang Wei, "Finite part of spectrum and isospectrality", 99–107 -- Jozef Dodziuk, "Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator", 109–114 -- Koji Fujiwara, "Convergence of the eigenvalues of Laplacians in a class of finite graphs", 115–120 -- Carolyn S. Gordon, "Isospectral closed Riemannian manifolds which are not locally isometric. II", 121–131 -- Ruth Gornet, "The length spectrum and representation theory on two- and three-step nilpotent Lie groups", 133–155 -- Eugene Gutkin, "A few remarks on the billiard ball problem", 157–165 -- Lizhen Ji and Steven Zelditch, "Hyperbolic cusp forms and spectral simplicity on compact hyperbolic surfaces", 167–179 -- Yaroslav Kurylev, "Inverse boundary problems on Riemannian manifolds", 181–192 -- Leonid Malozemov, "Spectral theory of the differential Laplacian on the modified Koch curve", 193–224 -- Yiping Mao, "Conjugate geodesic flows in negatively curved manifolds", 225–229 -- Hubert Pesce, "Variétés isospectrales et représentations de groupes", 231–240 -- Yiannis N. Petridis, "On differences of eigenvalues for flat tori and hyperbolic surfaces", 241–256 -- Gregory Quenell, "Combinatorics of free product graphs", 257–281 -- Toshikazu Sunada, "A discrete analogue of periodic magnetic Schrödinger operators", 283–299.
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Incluye referencias bibliográficas.

Edoh Y. Amiran, "An inverse problem and spectral invariants for billiards", 1–13 -- Jeff Angel, Steve Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez, "Spherical functions and transforms on finite upper half planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces", 15–70 -- Robert Brooks, "Lp spectral geometry", 71–87 -- Robert Brooks and Paul Glezen, "An Lp spectral bootstrap theorem", 89–97 -- Xianzhe Dai and Guofang Wei, "Finite part of spectrum and isospectrality", 99–107 -- Jozef Dodziuk, "Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator", 109–114 -- Koji Fujiwara, "Convergence of the eigenvalues of Laplacians in a class of finite graphs", 115–120 -- Carolyn S. Gordon, "Isospectral closed Riemannian manifolds which are not locally isometric. II", 121–131 -- Ruth Gornet, "The length spectrum and representation theory on two- and three-step nilpotent Lie groups", 133–155 -- Eugene Gutkin, "A few remarks on the billiard ball problem", 157–165 -- Lizhen Ji and Steven Zelditch, "Hyperbolic cusp forms and spectral simplicity on compact hyperbolic surfaces", 167–179 -- Yaroslav Kurylev, "Inverse boundary problems on Riemannian manifolds", 181–192 -- Leonid Malozemov, "Spectral theory of the differential Laplacian on the modified Koch curve", 193–224 -- Yiping Mao, "Conjugate geodesic flows in negatively curved manifolds", 225–229 -- Hubert Pesce, "Variétés isospectrales et représentations de groupes", 231–240 -- Yiannis N. Petridis, "On differences of eigenvalues for flat tori and hyperbolic surfaces", 241–256 -- Gregory Quenell, "Combinatorics of free product graphs", 257–281 -- Toshikazu Sunada, "A discrete analogue of periodic magnetic Schrödinger operators", 283–299.

MR, 95d:58001

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