Selberg's trace formula: an introduction

Abstract

These lecture notes provide a basic introduction to Selberg's trace formula. We discuss the simplest possible case: the spectrum of the Laplacian on a compact Riemannian surface of constant negative curvature. (To appear in Springer LNP.)

Lectures given at the International School "Quantum Chaos on Hyperbolic Manifolds" (Schloss Reisensburg, Gunzburg, Germany, 4-11 October 2003). To appear in Springer LNP