STRINGS, WAVES, DRUMS: SPECTRA AND INVERSE PROBLEMS-Reference-Cited by-同舟云学术

STRINGS, WAVES, DRUMS: SPECTRA AND INVERSE PROBLEMS

Published:2009-04 Issue:02 Volume:07 Page:131-183
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

BEALS RICHARD¹,GREINER PETER C.²³

Affiliation:

1. Mathematics Department, Yale University, 10 Hillhouse Avenue, New Haven, CT 06520-8283, USA

2. Department of Mathematics, University of Toronto, Toronto, Ontario M5S 3G3, Canada

3. Mathematics Department, City University of Hong Kong, Tat Chee Avenue, Kowloon Tong, Hong Kong

Abstract

This survey treats a number of interconnected topics related in one way or another to the famous paper of Mark Kac, "Can one hear the shape of a drum?": wave motion, classical and quantum inverse problems, integrable systems, and the relations between spectra and geometry. We sketch the history and some of the principal developments from the vibrating string to quantum inverse problems, the KdV equation and integrable systems, spectral geometry and the index problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530509001335

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