Scattering Theory for Automorphic Functions.

Lax, Peter D.; Phillips, Ralph S.

ISBN 10: 0691081794 / ISBN 13: 9780691081793

Edité par Princeton University Press; University of Tokyo Press, Princeton, New Jersey; Tokyo, 1976

A propos de cet article

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.

N° de réf. du vendeur 80968

Détails bibliographiques

• Titre: Scattering Theory for Automorphic Functions.
• Éditeur: Princeton University Press; University of Tokyo Press, Princeton, New Jersey; Tokyo
• Date de parution: 1976
• Langue: anglais
• ISBN à 10 chiffres: 0691081794
• ISBN à 13 chiffres: 9780691081793
• Reliure: Couverture rigide
• Poids: 620 grammes
• Catalogues du vendeur:
  • Wiskunde

A propos de ce titre

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.