Families of Automorphic Forms

• Modular introduction.- Modular introduction.- General theory.- Automorphic forms on the universal covering group.- Discrete subgroups.- Automorphic forms.- Poincaré series.- Selfadjoint extension of the Casimir operator.- Families of automorphic forms.- Transformation and truncation.- Pseudo Casimir operator.- Meromorphic continuation of Poincaré series.- Poincaré families along vertical lines.- Singularities of Poincaré families.- Examples.- Automorphic forms for the modular group.- Automorphic forms for the theta group.- Automorphic forms for the commutator subgroup.

From reviews: "It is made abundantly clear that this viewpoint, of families of automorphic functions depending on varying eigenvalue and multiplier systems, is both deep and fruitful." - MathSciNet