§3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2)

Kapitel in diesem Buch

1. Frontmatter i
2. PREFACE vii
3. CONTENTS ix
4. §1. THE CLASSICAL THEORY 1
5. §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L²(Γ\SL(2,ℝ)) 22
6. §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) 40
7. §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS 54
8. §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) 79
9. §6. HECKE THEORY FOR GL(2) 98
10. §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS 133
11. § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM 161
12. §9. THE TRACE FORMULA FOR GL(2) 181
13. §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA 227
14. BIBLIOGRAPHY 260
15. INDEX 264