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Real Shintani Functions and Multiplicity Free Property for the Symmetric Pair $\bigl(SU(2,1), S(U(1,1) × U(1))\bigr)$
http://hdl.handle.net/2261/1357
http://hdl.handle.net/2261/1357bf16ef84-d487-4c1d-899e-8cadbb865656
名前 / ファイル | ライセンス | アクション |
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jms040309.pdf (416.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Real Shintani Functions and Multiplicity Free Property for the Symmetric Pair $\bigl(SU(2,1), S(U(1,1) × U(1))\bigr)$ | |||||
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 |
Tsuzuki, Masao
× Tsuzuki, Masao |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We shall present an explicit formula of ""generalized"" spherical functions on $SU(2,1)$ with respect to its reductive spherical subgroup $S\bigl(U(1,1) × U(1)\bigr)$, which can be considered to be a real analogue of the Whittaker-Shintani functions introduced by Shintani and investigated by Murase and Sugano. At the same time, we shall prove a multiplicity one theorem for the corresponding space of intertwining operators. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 4, 号 3, p. 663-727, 発行日 1997 |
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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 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1484607 | ||||||
Mathmatical Subject Classification | ||||||
11F70(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
22E46(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
33C05(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
11F67(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1997-02-25 |