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- ISHI Hideyuki
- Graduate School of Mathematics Nagoya University
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- KAI Chifune
- Faculty of Mathematics and Physics Institute of Science and Engineering Kanazawa University
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抄録
The representative domain gives a nice realization for a homogeneous bounded domain, which is a generalization of the Harish-Chandra realization for a symmetric bounded domain. We show that the representative domain coincides with the image of the Cayley transform introduced by Penney and Nomura. As an application, we see that a homogeneous bounded domain is symmetric if and only if its representative domain is convex.
収録刊行物
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- 九州数学雑誌
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九州数学雑誌 64 (1), 35-47, 2009
九州大学大学院数理学研究院
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詳細情報 詳細情報について
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- CRID
- 1390001205228726656
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- NII論文ID
- 130000259012
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- NII書誌ID
- AA10994346
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- ISSN
- 18832032
- 13406116
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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- 使用不可