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Discrete Series Whittaker Functions on Spin(2n, 2)
http://hdl.handle.net/2261/59051
http://hdl.handle.net/2261/590514c0cb0db-4163-4805-b53e-6542ec235967
名前 / ファイル | ライセンス | アクション |
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jms210101.pdf (380.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2015-12-15 | |||||
タイトル | ||||||
タイトル | Discrete Series Whittaker Functions on Spin(2n, 2) | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Whittaker model | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Invariants of representations | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Confluent hypergeometric function | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Mellin-Barnes integral representation | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Taniguchi, Kenji
× Taniguchi, Kenji |
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著者所属 | ||||||
著者所属 | Department of Physics and Mathematics, Aoyama Gakuin University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Discrete series Whittaker functions on Spin(2n, 2) are studied. The main results are the dimensions of Whittaker models and the explicit formulas of Whittaker functions. The dimensions of the spaces of algebraic and continuous Whittaker models are described by sums of dimensions of irreducible representations of Spin(2n − 3). As for the explicit formulas, we obtain Mellin-Barnes type integral representations for the Whittaker functions associated with minimal K-type vectors. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 21, 号 1, p. 1-59, 発行日 2014-06-30 |
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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 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
22E30(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
22E46(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
33C15(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
11F30(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2009-06-08 |