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

Melrose

Softcover

ISBN 10: 0521498104 ISBN 13: 9780521498104

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

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 provide a non-technical overview of scattering theory. The simple case of the Laplacian or Euclidean space is described in the first two lectures. Various results on Euclidean scattering are then outlined. In the last three lectures these ideas are extended to non-Euclidean settings.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521498104
• ISBN 13: 9780521498104
• Binding: Paperback
• Number of pages: 132