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Matrix Coefficients with Minimal K-Types of the Spherical and Non-Spherical Principal Series Representations of SL(3, R)
http://hdl.handle.net/2261/54908
http://hdl.handle.net/2261/5490896b78edd-daf1-4f69-bd9b-f567d332f9de
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2013-06-19 | |||||
タイトル | ||||||
タイトル | Matrix Coefficients with Minimal K-Types of the Spherical and Non-Spherical Principal Series Representations of SL(3, 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 |
Sono, Keiju
× Sono, Keiju |
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著者所属 | ||||||
著者所属 | Graduate school of Mathematical Sciences, University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We compute the holonomic system of rank 6 for the radial part of the matrix coefficients of spherical and non-spherical principal series representations of SL(3, R). We obtain six power series solutions corresponding to the set of six characteristic roots, and express the matrix coefficients by linear combinations of these power series. Among others, the c-functions of non-spherical principal series are obtained. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 1, p. 1-55, 発行日 2012-06-20 |
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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 | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
11F70(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2010-08-02 |