Geometry of Reflecting Rays and Inverse Spectral Problems

by Vesselin M. Petkov, Luchezar N. Stoyanov

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.

322 pages, Hardcover

First published May 1, 1992