Geometric Scattering Theory (Stanford Lectures: Distinguished Visiting Lecturers in Mathematics, Series Number 1) by Richard B. Melrose (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review ‘ … 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 Book Description These lecture notes are intended as a non-technical overview of scattering theory.

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