Representations of SU(2,1) in Fourier Term Modules
Language: English
Published by Springer Nature Switzerland Nov 2023, 2023
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 51.84
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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 224 pp. Englisch.…
Seller Inventory # 9783031431913
- Title
- Representations of SU(2,1) in Fourier Term Modules
- Author
- Roberto J. Miatello
- Publisher
- Springer Nature Switzerland Nov 2023
- Publication year
- 2023
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 303143191X
- ISBN 13
- 9783031431913
- Item weight
- 388 grams
- Dimensions
- 235x155x12 mm
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BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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