<電子ブック>
Representations of SU(2,1) in Fourier Term Modules / by Roelof W. Bruggeman, Roberto J. Miatello
(Lecture Notes in Mathematics. ISSN:16179692 ; 2340)
版 | 1st ed. 2023. |
---|---|
出版者 | (Cham : Springer Nature Switzerland : Imprint: Springer) |
出版年 | 2023 |
本文言語 | 英語 |
大きさ | XI, 210 p. 66 illus., 51 illus. in color : online resource |
著者標目 | *Bruggeman, Roelof W author Miatello, Roberto J author SpringerLink (Online service) |
件 名 | LCSH:Number theory LCSH:Fourier analysis LCSH:Topological groups LCSH:Lie groups FREE:Number Theory FREE:Fourier Analysis FREE:Topological Groups and Lie Groups |
一般注記 | 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 asa basic reference on spectral expansion with Fourier-Jacobi coefficients. Only a background in Lie groups and their representations is assumed HTTP:URL=https://doi.org/10.1007/978-3-031-43192-0 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783031431920 |
|
電子リソース |
|
EB00236236 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA241-247.5 DC23:512.7 |
書誌ID | 4001086268 |
ISBN | 9783031431920 |