THE REPRESENTATIVE DOMAIN OF A HOMOGENEOUS BOUNDED DOMAIN
THE REPRESENTATIVE DOMAIN OF A HOMOGENEOUS BOUNDED DOMAIN
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DOI：
10.2206/kyushujm.64.35
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发表时间：
2009
影响因子：
0.4
通讯作者：
H. Ishi;C. Kai
中科院分区：
文献类型：
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作者：
H. Ishi;C. Kai
代表域给出了齐次有界域的一个很好的实现，它是对称有界域上Harish-Chandra实现的推广。我们证明了代表性区域与Penney和Nomura提出的Cayley变换的图像重合。作为应用，我们看到齐次有界域是对称的当且仅当它的代表域是凸的。
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.