§9. THE SELBERG TRACE FORMULA

Chapters in this book

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