Scattering theory for automorphic functions

Peter D. Lax, Ralph S. Phillips

Type: Article

Publication Date: 1980-01-01

Citations: 375

DOI: https://doi.org/10.1090/s0273-0979-1980-14735-7

Abstract

This paper is an expository account of our 1976 monograph [6] on Scattering theory for automorphic functions.Several improvements have been incorporated: a more direct proof of the meromorphic character of the Eisenstein series, an explicit formula for the translation representations and a simpler derivation of the spectral representations.Our hyperbolic approach to the Selberg trace formula is also included.

Locations

French digital mathematics library (Numdam) - View - PDF
Bulletin of the American Mathematical Society - View - PDF

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Works Cited by This (8)

Action	Title	Year	Authors
+	Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space	1969	Israel Gohberg M. Г. Крейн
+	Scattering theory and automorphic functions	2008	Gilles Lachaud
+	Selberg's trace formula as applied to a compact riemann surface	1972	H. P. McKean
+	The scattering of sound waves by an obstacle	1977	Peter D. Lax Ralph S. Phillips
+	Translation representations for the solution of the non‐euclidean wave equation	1979	Peter D. Lax Ralph S. Phillips
+	HARMONIC ANALYSIS ON RIEMANNIAN SYMMETRIC SPACES OF NEGATIVE CURVATURE AND SCATTERING THEORY	1976	M A Semenov-Tjan-Šanskiĭ
+	Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series	1956	Atle Selberg
+	Elementary theory of Eisenstein series	1973	富雄久保田