Geometric Scattering Theory
$48.99 (P)
Part of Stanford Lectures: Distinguished Visiting Lecturers in Mathematics
- Author: Richard B. Melrose, Massachusetts Institute of Technology
- Date Published: July 1995
- availability: Available
- format: Paperback
- isbn: 9780521498104
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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.
Read more- Author is a leading international figure in applied mathematics
- Lectures are a concise introduction to an expanding area
- First volume in a subseries of the Stanford/Cambridge programme
Reviews & endorsements
' … 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
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×Product details
- Date Published: July 1995
- format: Paperback
- isbn: 9780521498104
- length: 132 pages
- dimensions: 229 x 152 x 8 mm
- weight: 0.21kg
- contains: 13 b/w illus.
- availability: Available
Table of Contents
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.
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