Representations of SU(2,1) in Fourier Term Modules
Language: English
Published by Springer International Publishing AG, CH, 2023
- Softcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 52.90
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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 Poincaré 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 Poincaré 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. …
Seller Inventory # LU-9783031431913
- Title
- Representations of SU(2,1) in Fourier Term Modules
- Author
- Roelof W. Bruggeman, Roberto J. Miatello
- Publisher
- Springer International Publishing AG, CH
- Publication year
- 2023
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 303143191X
- ISBN 13
- 9783031431913
- Edition
- 1st ed. 2023.
"Synopsis" may belong to another edition of this title.
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"About the title" may belong to another edition of this title.
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London, United Kingdom
AbeBooks seller since June 11, 2025
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