Geometric Scattering Theory

ISBN-13: 9780521496735 / Angielski / Twarda / 1995 / 132 str.

Richard B. Melrose

Opis

This book is an overview of scattering theory. The author shows how this theory provides a parametrization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. In the first two lectures the author describes the simple and fundamental case of the Laplacian on Euclidean space to introduce the theory's basic framework. In the next three lectures, he outlines various results on Euclidean scattering, and the methods used to prove them. In the last three lectures he extends these ideas to non-Euclidean settings.

Recenzje

' … overall the book is of interest for students and researchers if they wish to obtain an overview of this theory.' O. Röschel, International Mathematical News

Spis treści

List of illustrations; Introduction; 1. Euclidean Laplacian; 2. Potential scattering on Rn; 3. Inverse scattering; 4. Trace formulae and scattering poles; 5. Obstacle scattering; 6. Scattering metrics; 7. Cylindrical ends; 8. Hyperbolic metrics.