Representations of SU(2,1) in fourier term modules Roelof W. Bruggeman, Roberto J. Miatello
Materialtyp:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- Text
- ohne Hilfsmittel zu benutzen
- Band
- 9783031431913
- 11F70
- 31.14
- 31.30
Medientyp | Aktuelle Bibliothek | Sammlung | Standort | Signatur | Status | Fälligkeitsdatum | Barcode | |
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Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik) | Campusbibliothek für Informatik und Mathematik (E2 3) | Series (B) | LNM 2340 (Regal durchstöbern(Öffnet sich unterhalb)) | Verfügbar | 2202000633945 |
Literaturverzeichnis: Seite 201-203
Publisher’s description: 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.