Scattering Theory for Automorphic Functions (Annals of Mathematics Studies, 87)
Language: English
Published by Princeton University Press, 1976
- Hardcover
- Used
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Condition: Used - Fine
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signed by Peter D. Lax; 312 pp., hardcover, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Photos available upon request.
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- Title
- Scattering Theory for Automorphic Functions (Annals of Mathematics Studies, 87)
- Author
- Lax, Peter D., Phillips, Ralph S.
- Publisher
- Princeton University Press
- Publication year
- 1976
- Condition
- Fine
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0691081794
- ISBN 13
- 9780691081793
- Series
- Book 111 of 202: Annals of Mathematics Studies
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.
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