Smooth-Automorphic Forms and Smooth-Automorphic Representations

This book provides a thorough 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 is, however, different to what one usually finds in the literature: We do not restrict ourselves to considering K-finite automorphic forms, but allow a richer class of only smooth functions. In this way, we regain a perfect symmetry between the archimedean and the non-archimedean places of our number field F, making our bigger space of smooth automorphic forms a proper, continuous representation of the full group of adelic points of G. This book is a unique source, where a theory of smooth automorphic representations is developed and presented in great detail.

Author: Harald Grobner

Publisher: World Scientific Publishing Company

Publication Date: Jul 18, 2023

Number of Pages: NA pages

Language: English

Binding: Hardcover

ISBN-10: 9811246165

ISBN-13: 9789811246166