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

Contributor(s):

Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 173.Publication details: Providence, R.I. : American Mathematical Society, c1994.Description: 1 online resource (ix, 299 p. : ill.)ISBN:

9780821877647 (online)

Subject(s):

Spectral geometry -- Congresses

Additional physical formats: Geometry of the spectrum :DDC classification:

516.3/62 20

LOC classification:

QA614.95 .G46 1994

Online resources:

Contents:

An inverse problem and spectral invariants for billiards / Edoh Y. Amiran -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01814 Spherical functions and transforms on finite upper half planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces / Jeff Angel, Steve Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01815 $L^p$ spectral geometry / Robert Brooks -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01816 An $L^p$ spectral bootstrap theorem / Robert Brooks and Paul Glezen -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01817 Finite part of spectrum and isospectrality / Xianzhe Dai and Guofang Wei -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01818 Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator / Jozef Dodziuk -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01819 Convergence of the eigenvalues of Laplacians in a class of finite graphs / Koji Fujiwara -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01820 Isospectral closed Riemannian manifolds which are not locally isometric. II / Carolyn S. Gordon -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01821 The length spectrum and representation theory on two- and three-step nilpotent Lie groups / Ruth Gornet -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01822 A few remarks on the billiard ball problem / Eugene Gutkin -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01823 Hyperbolic cusp forms and spectral simplicity on compact hyperbolic surfaces / Lizhen Ji and Steven Zelditch -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01824 Inverse boundary problems on Riemannian manifolds / Yaroslav Kurylev -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01825 Spectral theory of the differential Laplacian on the modified Koch curve / Leonid Malozemov -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01826 Conjugate geodesic flows in negatively curved manifolds / Yiping Mao -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01827 Vari�et�es isospectrales et repr�esentations de groupes / Hubert Pesce -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01828 On differences of eigenvalues for flat tori and hyperbolic surfaces / Yiannis N. Petridis -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01829 Combinatorics of free product graphs / Gregory Quenell -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01830 A discrete analogue of periodic magnetic Schr�odinger operators / Toshikazu Sunada -- http://www.ams.org/conm/173/ http://dx.doi.org/10.1090/conm/173/01831

Item type:

E-BOOKS

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Holdings
Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library			Link to resource	Available		EBK11455

Includes bibliographical references.

An inverse problem and spectral invariants for billiards / Edoh Y. Amiran -- Spherical functions and transforms on finite upper half planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces / Jeff Angel, Steve Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez -- $L^p$ spectral geometry / Robert Brooks -- An $L^p$ spectral bootstrap theorem / Robert Brooks and Paul Glezen -- Finite part of spectrum and isospectrality / Xianzhe Dai and Guofang Wei -- Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator / Jozef Dodziuk -- Convergence of the eigenvalues of Laplacians in a class of finite graphs / Koji Fujiwara -- Isospectral closed Riemannian manifolds which are not locally isometric. II / Carolyn S. Gordon -- The length spectrum and representation theory on two- and three-step nilpotent Lie groups / Ruth Gornet -- A few remarks on the billiard ball problem / Eugene Gutkin -- Hyperbolic cusp forms and spectral simplicity on compact hyperbolic surfaces / Lizhen Ji and Steven Zelditch -- Inverse boundary problems on Riemannian manifolds / Yaroslav Kurylev -- Spectral theory of the differential Laplacian on the modified Koch curve / Leonid Malozemov -- Conjugate geodesic flows in negatively curved manifolds / Yiping Mao -- Vari�et�es isospectrales et repr�esentations de groupes / Hubert Pesce -- On differences of eigenvalues for flat tori and hyperbolic surfaces / Yiannis N. Petridis -- Combinatorics of free product graphs / Gregory Quenell -- A discrete analogue of periodic magnetic Schr�odinger operators / Toshikazu Sunada --