Scattering Theory for Automorphic Functions. (AM-87)

Scattering Theory for Automorphic Functions. (AM-87)

by Peter D. Lax, Ralph S. Phillips
     
 

ISBN-10: 0691081840

ISBN-13: 9780691081847

Pub. Date: 01/01/1977

Publisher: Princeton University Press

The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator

Overview

The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula.

CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The Laplace-Beltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula.

Product Details

ISBN-13:
9780691081847
Publisher:
Princeton University Press
Publication date:
01/01/1977
Series:
Annals of Mathematics Studies Series, #87
Pages:
312
Product dimensions:
5.84(w) x 8.92(h) x 0.88(d)

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