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Commuting families of differential operators invariant under the action of a Weyl group
http://hdl.handle.net/2261/1570
http://hdl.handle.net/2261/15704fc701e4-a910-4122-8eca-e5ccaf7db264
名前 / ファイル | ライセンス | アクション |
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jms020101.pdf (399.6 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 | Commuting families of differential operators invariant under the action of a Weyl group | |||||
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 |
Oshima, Toshio
× Oshima, Toshio |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | For a Weyl group $W$ of a classical root system $(Σ, E)$, we study $W$-invariant commuting differential operators on $E$ whose highest order terms generate the $W$-invariant differential operators with constant coefficients. We show that the potential function for the Laplacian in this commuting family of differential operators is expressed by the Weierstrass elliptic functions. The commuting differential operators define a generalization of hypergeometric equations. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 2, 号 1, p. 1-75, 発行日 1995 |
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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 | ||||||
MR1348022 | ||||||
Mathmatical Subject Classification | ||||||
58F07(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35Q58(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
33E30(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
34K05(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1993-11-18 |