Smooth-Automorphic Forms and Smooth-Automorphic Representations (Hardcover) (ISBN-13: 9789811246166)

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 scheme G/F.This setup also covers the advantage that a perfect representation-theoretical symmetry between the archimedean and non-archimedean places of the number field F is regained, by making the bigger space of smooth-automorphic forms into a proper, continuous representation of the full group of adelic points of G.Graduate students and researchers will find the covered topics appear for the first time in a book, where the theory of smooth-automorphic representations is robustly developed and presented in great detail.

Author: Harald Grobner
ISBN-10: 9811246165
ISBN-13: 9789811246166
Publisher: World Scientific Publishing Company
Language: English
Published: 07/18/2023
Pages: 264
Format: Hardcover
Weight: 1.15lbs
Size: 9.00h x 6.00w x 0.63d