Smooth-automorphic Forms And Smooth-automorphic Representations (Hardcover)

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.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Series:	Series on Number Theory and Its Applications, 17
Release date:	July 2023
First published:	2023
Authors:	Harald Grobner
Format:	Hardcover
Pages:	264
ISBN-13:	978-981-12-4616-6
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	981-12-4616-5
Barcode:	9789811246166

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