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Geometric Scattering Theory : Stanford Lectures - Richard B. Melrose

Geometric Scattering Theory

Stanford Lectures

Paperback Published: 27th November 1995
ISBN: 9780521498104
Number Of Pages: 132

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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.

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

List of illustrations
Introduction
Euclidean Laplacian
Potential scattering on Rn
Inverse scattering
Trace formulae and scattering poles
Obstacle scattering
Scattering metrics
Cylindrical ends
Hyperbolic metrics
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521498104
ISBN-10: 0521498104
Series: Stanford Lectures
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 132
Published: 27th November 1995
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.84 x 15.32  x 0.79
Weight (kg): 0.19