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Sinopsis
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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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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Scattering Theory for Automorphic Functions.
Publicado por
Princeton University Press; University of Tokyo Press, Princeton, New Jersey; Tokyo, 1976
ISBN 10: 0691081794
ISBN 13: 9780691081793
Antiguo o usado
Tapa dura
Librería: Emile Kerssemakers ILAB, Heerlen, Holanda
Calificación del vendedor: 5 de 5 estrellas
24 x 16 cm, hardcover, x, 302 pages, Text in English, very good condition, see picture. Annals of Mathematics Studies, vol. 87. Seminal monograph developing scattering theory in the context of automorphic functions and the spectral theory of the Laplace operator on Riemann surfaces. A landmark in the interaction of analysis, geometry, and number theory. 620g. Nº de ref. del artículo: 80968
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Scattering Theory for Automorphic Functions
Publicado por
Princeton University Press, Princeton, NJ, 1976
ISBN 10: 0691081794
ISBN 13: 9780691081793
Antiguo o usado
Tapa dura
Original o primera edición
Librería: Black Cat Hill Books, Oregon City, OR, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Near Fine. Estado de la sobrecubierta: No Dust Jacket. First Edition; First Printing. 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. Nº de ref. del artículo: 59438
Cantidad disponible: 1 disponibles