Geometric Scattering Theory (Stanford Lectures: Distinguished Visiting Lecturers in Mathematics, Series Number 1)

Melrose, Richard B.

ISBN 10: 0521498104 / ISBN 13: 9780521498104

Published by Cambridge University Press, 1995

About this Item

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Seller Inventory # Q-0521498104

Bibliographic Details

• Title: Geometric Scattering Theory (Stanford Lectures: Distinguished Visiting Lecturers in Mathematics, Series Number 1)
• Publisher: Cambridge University Press
• Publication Date: 1995
• Language: English
• ISBN 10: 0521498104
• ISBN 13: 9780521498104
• Binding: paperback
• Condition: New
• Weight: 7 ounces

About this title

Synopsis

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.

Book Description

This overview of geometric scattering theory shows how it provides a parametrization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. It will be of interest to graduate students and researchers in mathematics and engineering.