The generalized Whittaker functions for Sp(2,R) and the gamma factor of the Andrianov L-function 実2次シンプレクティック群に対する一般化されたホイテッカー関数とアンドリャーノフのエル関数のガンマ因子
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著者
書誌事項
- タイトル
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The generalized Whittaker functions for Sp(2,R) and the gamma factor of the Andrianov L-function
- タイトル別名
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実2次シンプレクティック群に対する一般化されたホイテッカー関数とアンドリャーノフのエル関数のガンマ因子
- 著者名
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宮崎, 琢也
- 著者別名
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ミヤザキ, タクヤ
- 学位授与大学
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京都大学
- 取得学位
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博士 (理学)
- 学位授与番号
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甲第6318号
- 学位授与年月日
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1996-03-23
注記・抄録
博士論文
目次
- CONTENTS / p3 (0005.jp2)
- Part I.Definitions and General Results. / p5 (0007.jp2)
- §1.Definition of the space of the generalized Whittaker models. / p5 (0007.jp2)
- §2.Basic notation and the structure of Lie groups and algebras. / p7 (0009.jp2)
- §3.Representations of the maximal compact subgroup. / p11 (0013.jp2)
- §4.The Schmid operator. / p12 (0014.jp2)
- §5.Radial part of the Schmid operator and the Casimir operator. / p13 (0015.jp2)
- Part II.Generalized Whittaker Functions for Generalized Principal Series. / p19 (0021.jp2)
- §6.Generalized principal series representations induced from a maximal parabolic subgroup and their K-types. / p19 (0021.jp2)
- §7.The generalized Whittaker functions for the generalized princioal series representations from a maximal parabolic subgroup P₁. / p21 (0023.jp2)
- §8.The gamma factor of the Andrianov's L-function associated with the generalized principal series representation. / p38 (0040.jp2)
- Part III.Generalized Whittaker Functions for Large Discrete Series / p41 (0043.jp2)
- §9.Parameterization of the discrete series representations. / p41 (0043.jp2)
- §10.The generalized Whittaker functions for the large discrete series resentations. / p42 (0044.jp2)
- §11.A solusion in series expansion and the gamma factor of the Andrianov's L-function. / p49 (0051.jp2)
- §12.An appendix to Part III;Global properties of the formal series solutions,A case study. / p59 (0061.jp2)
- Part IV.Principal Series Representations Induced From Standard Minimal Parabolic Subgroup. / p68 (0070.jp2)
- §13.The generalized Whittaker functions for principal series induced from a minimal parabolic subgroup,a system of equations. / p68 (0070.jp2)
- References. / p73 (0075.jp2)