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12120 博士論文（数理科学専攻） >
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http://hdl.handle.net/2261/28166
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| タイトル: | Generalized Whittaker functions for degenerate principal series of GL(4, R) |
| その他のタイトル: | GL(4, R)の退化主系列表現の一般Whittaker関数 |
| 著者: | 廣惠, 一希 |
| 著者(別言語): | Hiroe, Kazuki |
| Issue Date: | 23-Mar-2009 |
| 抄録: | We give a characterization of a generalized Whittaker model of a degenerate principal series representation of GL(n, R) as the kernel of some differential operators. By this characterization, we investigate some examples on GL(4, R). We obtain the dimensions of the generalized Whittaker models and give their basis in terms of hypergeometric functions of one and two variables. We show the multiplicity one of the generalized Whittaker models by using the theory of hypergeometric functions. |
| 内容記述: | 報告番号: 甲24985 ; 学位授与年月日: 2009-03-23 ; 学位の種別: 課程博士 ; 学位の種類: 博士(数理科学) ; 学位記番号: 博数理第340号 ; 研究科・専攻: 数理科学研究科数理科学専攻 |
| URI: | http://hdl.handle.net/2261/28166 |
| Appears in Collections: | 021 博士論文
12120 博士論文（数理科学専攻）
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