Table of Contents

*Frontmatter, pg. i*TABLE OF CONTENTS, pg. v*PREFACE, pg. vii*LIST OF SYMBOLS, pg. ix* 1. INTRODUCTION, pg. 1* 2. AN ABSTRACT SCATTERING THEORY, pg. 12* 3. A MODIFIED THEORY FOR SECOND ORDER EQUATIONS WITH AN INDEFINITE ENERGY FORM, pg. 53* 4. THE LAPLACE-BELTRAMI OPERATOR FOR THE MODULAR GROUP, pg. 87* 5. THE AUTOMORPHIC WAVE EQUATIONS, pg. 102* 6. INCOMING AND OUTGOING SUBSPACES FOR THE AUTOMORPHIC WAVE EQUATION, pg. 119* 7. THE SCATTERING MATRIX FOR THE AUTOMORPHIC WAVE EQUATION, pg. 149* 8. THE GENERAL CASE, pg. 191* 9. THE SELBERG TRACE FORMULA, pg. 220*REFERENCES, pg. 297*INDEX, pg. 299*Backmatter, pg. 301