Scattering Theory for Automorphic Functions. (AM-87) (Annals of Mathematics Studies)

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9780691081793: Scattering Theory for Automorphic Functions. (AM-87) (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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Lax, Peter D., And Ralph S. Phillips
Published by Princeton University Press, Princeton NJ (1976)
ISBN 10: 0691081794 ISBN 13: 9780691081793
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Book Description Princeton University Press, Princeton NJ, 1976. Hardcover. Book Condition: Good. Dust Jacket Condition: No Dust Jacket. First Edition. An ex-library copy in orange cloth lettered in black. The usual ex-libris markings, clean within. The binding is sound and there is little cover wear. Bookseller Inventory # 039208

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