| Dewey Class |
512.7 |
| Title |
Representations of SU(2,1) in Fourier Term Modules ([EBook]) / Roelof W. Bruggeman, Roberto J. Miatello |
| Author |
Bruggeman, Roelof W. |
| Added Personal Name |
Miatello, Roberto J. |
| Publication |
Cham : Springer Nature Switzerland , 2023 |
| Physical Details |
: online resource (xi, 210 p., ill.) |
| Series |
Lecture Notes in Mathematics ; 2340 |
| ISBN |
9783031431920 |
| Summary Note |
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 (provided by publisher): |
| Mode of acces to digital resource |
Digital reproduction.- Cham : Springer Nature Switzerland, 2023. - Digital book. Cham Springer Nature 2023. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-031-43192-0 |
| Links to Related Works |
Subject References:
Authors:
Series:
Classification:
|
|---|
