Pure & Applied Mathematics S.
1 total work
Geometry of Reflecting Rays and Inverse Spectral Problems
by Vesselin Petkov and Luchezar N. Stoyanov
Published 27 March 1992
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.