Geometry of Reflecting Rays and Inverse Spectral Problems

Petkov, Vesselin M. & Stoyanov, Luchezar N.

ISBN 10: 0471931748 / ISBN 13: 9780471931744

Published by Chichester & New York: John Wiley & Sons, Inc., 1992

About this Item

Octavo in brown cloth binding. Condition: ex-library copy with markings; traces of removed label on spine of binding; sun-fading & wear; else good. 313 pages.

Seller Inventory # 302607

Bibliographic Details

• Title: Geometry of Reflecting Rays and Inverse Spectral Problems
• Publisher: Chichester & New York: John Wiley & Sons, Inc.
• Publication Date: 1992
• Language: English
• ISBN 10: 0471931748
• ISBN 13: 9780471931744
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Good
• Dust Jacket Condition: No Jacket

About this title

Synopsis

The behaviour of reflecting rays plays an essential role in many problems of mathematical physics. This book studies different geometric properties of reflecting rays for manifolds with smooth boundary and their applications to different inverse spectral and scattering problems. This is a developing area in which the authors have made important contributions. Results concerning the particular problems studied and which arise in several important domains of modern physics are presented. Some chapters concerning the generic properties of reflecting rays can be used for courses for graduate students.

From the Publisher

The behavior of reflecting rays plays an essential role in many problems of mathematical physics. Various geometric properties of these rays for manifolds with smooth boundary are studied and their applications to different inverse spectral and scattering problems are discussed. Distinguishing features include coverage of manifolds of jets and spaces of smooth maps and transversity, an in-depth study of inverse spectral problems for the Laplacian in generic bounded domains, and discussion of the singularities of the scattering kernel and solving the problem of its description.