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Smooth-automorphic Forms And Smooth-automorphic Representations (Series On Number Theory And Its Applications) - Hardcover

Harald Grobner

 
9789811246166: Smooth-automorphic Forms And Smooth-automorphic Representations (Series On Number Theory And Its Applications)
Hardcover
ISBN 10: 9811246165 ISBN 13: 9789811246166
Publisher: WSPC, 2023

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Dr Harald Grobner's main scientific interests are located within the vital area of cohomological automorphic forms and their applications to number theory. He is particularly interested in the arithmetic and analytic theory of L-functions. This includes local and global representation theory and aspects in the geometry of arithmetically defined varieties.

"About this title" may belong to another edition of this title.

Publisher
WSPC
Publication date
2023
Language
English
ISBN 10 
9811246165
ISBN 13 
9789811246166
Binding
Hardcover
Number of pages
250