Smooth-Automorphic Forms and Smooth-Automorphic Representations - Harald Grobner
This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider \K-finite\ automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth. Contrasting the usual approach, our space of \smooth-automorphic forms\ is intrinsic to the group..