Families of Automorphic Forms

1. Modular introduction
Roelof W. Bruggeman

Part I. General theory

2. Automorphic forms on the universal covering group
Roelof W. Bruggeman

3. Discrete subgroups
Roelof W. Bruggeman

4. Automorphic forms
Roelof W. Bruggeman

5. Poincaré series
Roelof W. Bruggeman

6. Selfadjoint extension of the Casimir operator
Roelof W. Bruggeman

7. Families of automorphic forms
Roelof W. Bruggeman

8. Transformation and truncation
Roelof W. Bruggeman

9. Pseudo Casimir operator
Roelof W. Bruggeman

10. Meromorphic continuation of Poincaré series
Roelof W. Bruggeman

11. Poincaré families along vertical lines
Roelof W. Bruggeman

12. Singularities of Poincaré families
Roelof W. Bruggeman

Part II. Examples

13. Automorphic forms for the modular group
Roelof W. Bruggeman

14. Automorphic forms for the theta group
Roelof W. Bruggeman

15. Automorphic forms for the commutator subgroup
Roelof W. Bruggeman

Keywords: Mathematics, Real Functions