Representations of SU(2,1) in Fourier Term Modules (Paperback)

Language: English

Published by Springer International Publishing AG, Cham, 2023

303143191X / 9783031431913

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Paperback. This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. It considers the abelian Fourier term modules connected to characters of the maximal unipotent subgroups of SU(2,1), and also the non-abelian modules, described via theta functions. A complete description of the submodule structure of all Fourier term modules is given, with a discussion of the consequences for Fourier expansions of automorphic forms, automorphic forms with exponential growth included.These results can be applied to prove a completeness result for Poincare series in spaces of square integrable automorphic forms.Aimed at researchers and graduate students interested in automorphic forms, harmonic analysis on Lie groups, and number-theoretic topics related to Poincare series, the book will also serve as a basic reference on spectral expansion with Fourier-Jacobi coefficients. Only a background in Lie groups and their representations is assumed. This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Title
Representations of SU(2,1) in Fourier Term Modules (Paperback)
Author
Roelof W. Bruggeman
Publisher
Springer International Publishing AG, Cham
Publication year
2023
Condition
new
Binding
Paperback
Language
English
ISBN 10
303143191X
ISBN 13
9783031431913
Edition
1st Edition

AussieBookSeller

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