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Geometric Scattering Theory : Stanford Lectures: Distinguished Visiting Lecturers in Mathematics - Richard B. Melrose

Geometric Scattering Theory

Stanford Lectures: Distinguished Visiting Lecturers in Mathematics

Hardcover

Published: 28th July 1995
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These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.

' ... 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: 9780521496735
ISBN-10: 052149673X
Series: Stanford Lectures: Distinguished Visiting Lecturers in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 132
Published: 28th July 1995
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.1
Weight (kg): 0.37