Geometric Scattering Theory
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.
1100949827
Geometric Scattering Theory
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.
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Geometric Scattering Theory

Geometric Scattering Theory

by Richard B. Melrose
Geometric Scattering Theory

Geometric Scattering Theory

by Richard B. Melrose

Paperback

$52.00 
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Overview

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.

Product Details

ISBN-13: 9780521498104
Publisher: Cambridge University Press
Publication date: 07/28/1995
Series: Stanford Lectures: Distinguished Visiting Lecturers in Mathematics , #1
Pages: 132
Product dimensions: 5.98(w) x 9.02(h) x 0.31(d)

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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