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The Penrose Transform for Certain Non-Compact Homogeneous Manifolds of $U(n,n)$
http://hdl.handle.net/2261/1778
http://hdl.handle.net/2261/177827d0ea73-aec7-4c0e-ad2b-8440864f9a7e
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms030307.pdf (269.9 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | The Penrose Transform for Certain Non-Compact Homogeneous Manifolds of $U(n,n)$ | |||||
| 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 |
Sekiguchi, Hideko
× Sekiguchi, Hideko |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We construct \lq\lq{the Penrose transform}\rq\rq\ as an intertwining operator between two different geometric realization of infinite dimensional representations of $U(n,n)$, namely, from the space of the Dolbeault cohomology group on a non-compact complex homogeneous manifold to the space of holomorphic functions over the bounded domain of type $AIII$. We show that the image of the Penrose transform satisfies the system $(\Cal M_k)$ of partial differential equations of order $k+1$ which we find in explicit forms. Conversely, we also prove that any solution of the system $(\Cal M_k)$ is uniquely obtained as the image of the Penrose transform, by using the theory of prehomogeneous vector spaces. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 3, p. 655-697, 発行日 1996 |
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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Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1432112 | ||||||
| Mathmatical Subject Classification | ||||||
| 22E4(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 43A85(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 33C70(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 32L25(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1995-08-26 | ||||||
