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Exact power series in the asymptotic expansion of the matrix coefficients with the corner K-type of PJ-principal series representations of Sp(2,R)
http://hdl.handle.net/2261/33057
http://hdl.handle.net/2261/330579204cdd4-6bfc-4b27-9789-96cc4955adb6
名前 / ファイル | ライセンス | アクション |
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jms150405.pdf (192.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2010-06-30 | |||||
タイトル | ||||||
タイトル | Exact power series in the asymptotic expansion of the matrix coefficients with the corner K-type of PJ-principal series representations of Sp(2,R) | |||||
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 |
Iida, Masatoshi
× Iida, Masatoshi× Oda, Takayuki |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let G be a symplectic Lie group of rank 2, Sp(2, R) and PJ be its maximal parabolic subgroup called the Jacobi parabolic subgroup with non-abelian unipotent radica. The radial part of matrix coefficients of the P_J-principal series representations of G were studied in relation to the Appell's hypergeometric function. The leading terms of the expansion of the function around the infinity were well investigated in general cases (semisimple Lie groups and representations). In this paper, we determine the power series expansion other than leading terms for the above special case. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 15, 号 4, p. 521-543, 発行日 2009-02-20 |
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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 | |||||
Mathmatical Subject Classification | ||||||
43A90(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2007-04-16 jms150405.pdf |