Geometry of the Spectrum. (Record no. 136260)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03915nam a22004693i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC5295211 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131756.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s1994 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821877647 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821851852 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC5295211 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL5295211 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1037815146 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA614.95 .G46 1994 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/62 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Brooks, Robert. |
| 245 10 - TITLE STATEMENT | |
| Title | Geometry of the Spectrum. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 1994. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1994. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (314 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Contemporary Mathematics Series ; |
| Volume/sequential designation | v.173 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- 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 ## - SUMMARY, ETC. | |
| Summary, etc. | Spectral 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 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Spectral geometry-Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gordon, Carolyn. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Perry, Peter. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Brooks, Robert |
| Title | Geometry of the Spectrum |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1994 |
| International Standard Book Number | 9780821851852 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Contemporary Mathematics Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295211">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295211</a> |
| Public note | Click to View |
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