Scattering Theory for Automorphic Functions

Peter D. Lax and Ralph S. Phillips

ISBN 10: 0691081794 / ISBN 13: 9780691081793

Published by Princeton University Press, Princeton, NJ, 1976

About this Item

First Edition (1976) unstated in accordance with Princeton University Press' custormary practice at the time of publication. Very Near Fine; Lacks DJ: shows a former owner's name at the upper corner of the front free endpaper; else only a hint of wear to the extremities; the binding is square and secure; the text is clean. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. A handsome, nearly-new copy, structurally sound and tightly bound, showing minor imperfections. Bright and clean. Corners sharp. NOT a Remainder, Book-Club, or Ex-Library. 8vo (9.5 x 6.35 x 0.85 inches). Language: English. Weight: 21.9 ounces. Bright orange cloth over boards with black titles at the front panel and backstrip. Hardback: Lacks DJ, if indeed it ever possessed one. 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 include: 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. ; Annals of Mathematics Studies; Vol. 87; Large 8vo 9" - 10" tall; x, 300 pages.

Seller Inventory # 59438

Bibliographic Details

• Title: Scattering Theory for Automorphic Functions
• Publisher: Princeton University Press, Princeton, NJ
• Publication Date: 1976
• Language: English
• ISBN 10: 0691081794
• ISBN 13: 9780691081793
• Binding: Hardcover
• Edition: First Edition; First Printing.
• Condition: Near Fine
• Dust Jacket Condition: No Dust Jacket

About this title

Synopsis

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.