Cartan (J Math Pures Appl 96:1–114, 1931) firstly introduced bounded anti-circular domains centered at the origin in \({\mathbb {C}}^2\). In this paper, we give the classification and realization of a class of bounded anti-circular domains centered at the origin with the Thullen condition. Their isotropic subgroups and holomorphic automorphism groups are also determined.

中文翻译：

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一类有界反圆域的分类

Cartan（J Math Pures Appl 96：1-114，1931）首先引入了以\（{\ mathbb {C}} ^ 2 \）的原点为中心的有界反圆域。在本文中，我们给出了以Thullen条件为中心的一类有界反圆形域的分类和实现。还确定了它们的各向同性亚组和全纯自同构组。