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The Generalized Whittaker Functions for $Sp(2, \Bbb R)$ and the Gamma Factor of the Andrianov $L$-function
http://hdl.handle.net/2261/1212
http://hdl.handle.net/2261/12125ba49511-0295-488d-a873-ce8772e10497
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms070204.pdf (399.1 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | The Generalized Whittaker Functions for $Sp(2, \Bbb R)$ and the Gamma Factor of the Andrianov $L$-function | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Miyazaki, Takuya
× Miyazaki, Takuya |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study the archimedean generalized Whittaker functions for the generalized principal series and the large discrete series of the real symplectic group of degree 2. Using gradient type differential operators, which was introduced by Schmid, we give a system of differential equations which is satisfied by a Whittaker function. We study this system, and give the Mellin transform of its solution. We apply the result to a study of Andrianov's spinor $L$-function for a non-holomorphic Siegel modular form via Rankin-Selberg integral with an explicitly described archimedean factor. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 7, 号 2, p. 241-295, 発行日 2000 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1768466 | ||||||
| Mathmatical Subject Classification | ||||||
| 22E46(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 11F46(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1998-07-30 | ||||||
