Representations of SU(2,1) in Fourier Term Modules
€ 53,00
Informação do Produto
| ISBN | 9783031431913 |
|---|---|
| Autores | Roberto J. Miatello, Roelof W. Bruggeman |
| Editora | Springer International Publishing AG |
| Formato | Capa mole |
| Número de páginas | 210 |
| Peso (kg) | 0,394 |
| Data de Publicação | 07/11/2023 |
| Preço (iva excl.) | € 50,00 |
| Imposto | € 3,00 |
| Preço (iva inc.) | € 53,00 |
| Disponibilidade | 1 unidade em armazém externo |
Descrição do Produto
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.