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Scattering Theory for Automorphic Functions. (AM-87), Volume 87 (Paperback): Peter D. Lax, Ralph S. Phillips Scattering Theory for Automorphic Functions. (AM-87), Volume 87 (Paperback)
Peter D. Lax, Ralph S. Phillips
R2,317 R2,110 Discovery Miles 21 100 Save R207 (9%) Ships in 12 - 17 working days

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.

The Electromagnetic Field Produced by a Helix (Paperback): Ralph S. Phillips The Electromagnetic Field Produced by a Helix (Paperback)
Ralph S. Phillips
R399 Discovery Miles 3 990 Ships in 10 - 15 working days
A Helical Wave Guide, II (Hardcover): Henry Malin, Ralph S. Phillips A Helical Wave Guide, II (Hardcover)
Henry Malin, Ralph S. Phillips
R824 Discovery Miles 8 240 Ships in 10 - 15 working days
A Helical Wave Guide (Hardcover): Ralph S. Phillips A Helical Wave Guide (Hardcover)
Ralph S. Phillips
R758 Discovery Miles 7 580 Ships in 10 - 15 working days
Linear Ordinary Differential Operators of the Second Order (Hardcover): Ralph S. Phillips Linear Ordinary Differential Operators of the Second Order (Hardcover)
Ralph S. Phillips
R685 Discovery Miles 6 850 Ships in 10 - 15 working days
The Electromagnetic Field Produced by a Helix (Hardcover): Ralph S. Phillips The Electromagnetic Field Produced by a Helix (Hardcover)
Ralph S. Phillips
R754 Discovery Miles 7 540 Ships in 10 - 15 working days
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