|
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910760295503321 |
|
|
Autore |
Bruggeman Roelof W |
|
|
Titolo |
Representations of SU(2,1) in Fourier Term Modules / / by Roelof W. Bruggeman, Roberto J. Miatello |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2023.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (217 pages) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Mathematics, , 1617-9692 ; ; 2340 |
|
|
|
|
|
|
Altri autori (Persone) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Number theory |
Fourier analysis |
Topological groups |
Lie groups |
Number Theory |
Fourier Analysis |
Topological Groups and Lie Groups |
Teoria de nombres |
Anàlisi de Fourier |
Llibres electrònics |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
| |