Mendeley出力
＜図書＞
Generalized analytic automorphic forms in hypercomplex spaces
| 責任表示 | Rolf Sören Krausshar |
|---|---|
| シリーズ | Frontiers in mathematics |
| データ種別 | 図書 |
| 出版情報 | Basel : Birkhäuser , c2004 |
| 本文言語 | 英語 |
| 大きさ | xv, 167 p. ; 24 cm |
| 概要 | This book describes the basic theory of hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces. Hypercomplex analyticity gene...alizes the concept of complex analyticity in the sense of considering null-solutions to higher dimensional Cauchy-Riemann type systems. Vector- and Clifford algebra-valued Eisenstein and Poincar series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. In particular, explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series are established and a concept of hypercomplex multiplication of lattices is introduced. Applications to the theory of Hilbert spaces with reproducing kernels, to partial differential equations and index theory on some conformal manifolds are also described. This book describes the basic theory of hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces. Hypercomplex analyticity generalizes the concept of complex analyticity in the sense of considering null-solutions to higher dimensional Cauchy-Riemann type systems. Vector- and Clifford algebra-valued Eisenstein and Poincar series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. In particular, explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series are established and a concept of hypercomplex multiplication of lattices is introduced. Applications to the theory of Hilbert spaces with reproducing kernels, to partial differential equations and index theory on some conformal manifolds are also described. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6842288 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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:sz | 理系図3F 数理独自 | KRAU/20/1 | 2004 |
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023212004001982 |
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書誌詳細
| 一般注記 | Includes bibliographical references |
|---|---|
| 著者標目 | *Krausshar, Rolf Sören, 1972- |
| 件 名 | LCSH:Automorphic forms LCSH:Hardy spaces LCSH:Functions of complex variables |
| 分 類 | LCC:QA353.A9 DC22:515/.9 |
| 書誌ID | 1001398393 |
| ISBN | 3764370599 |
| NCID | BA66923216 |
| 巻冊次 | :sz ; ISBN:3764370599 :us ; ISBN:0817670599 |
| 登録日 | 2009.11.02 |
| 更新日 | 2017.02.18 |