Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains

机译：Cayley型因果对称空间和有界对称域的自同构群

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Symmetric spaces of Cayley type are a higher dimensional analogue of a one-sheeted hyperboloid in R~3. They form an important class of causal symmetric spaces. To a symmetric space of Cayley type M, one can associate a bounded symmetric domain of tube type D. We determine the full causal automorphism group of M. This clarifies the relation between the causal automorphism group and the holomorphic automorphism group of D.

机译：Cayley型对称空间是R〜3中单层双曲面的高维类似物。它们构成因果对称空间的重要类别。对于Cayley型M的对称空间，可以关联管型D的有界对称域。我们确定M的完全因果自同构群。这阐明了D的因果自同构群和全纯自同构群之间的关系。

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《Mathematics Several Complex Variables and Complex Geometry; ;》||P.283-294|共12页
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作者
Soji Kaneyuki;
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作者单位

Department of Mathematics, Nihon Institute of Technology, Miyashiro-cho, Saitama 345-8501, Japan;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
causal structure; symmetric space of cayley type; bounded symmetric domain;

机译：因果结构； cayley型对称空间；有界对称域;

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专利

1. 有界对称域上的加权Bergman空间 [J] . 王雄亮, 刘太顺数学季刊（英文版） . 2008,第001期
2. Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains [J] . Soji Kaneyuki Science in China. Series A, Mathematics, physics, astronomy . 2005,第MayS期

机译：Cayley型因果对称空间和有界对称域的自同构群
3. Norms of multiplication operators on Hardy spaces and weighted composition operators from Hardy spaces to weighted-type spaces on bounded symmetric domains [J] . Stevi? S. Applied mathematics and computation . 2010,第6期

机译：Hardy空间上的乘法算子和有界对称域上从Hardy空间到加权类型空间的加权合成算子的范数
4. The N-widths of spaces of holomorphic functions on bounded symmetric domains of tube type [J] . Ding HM., Richards DS., Gross KI. Journal of Approximation Theory . 2000,第1期

机译：管型界界对称域的核心函数空间的n宽度
5. RELATIONS BETWEEN THE AUTOMORPHISM GROUPS FOR BOUNDED SYMMETRIC DOMAINS AND ORDERED SYMMETRIC SPACES [C] . SOJI KANEYUKI Beijing-International Conference on Several Complex Variables(SCV 2004, Beijing); 20041022-27; Beijing(CN) . 2004

机译：有界对称域的自同构群与有序对称空间之间的关系。
6. Invariant Frechet algebras on bounded symmetric domains. [D] . Eroshkin, Oleg. 2009

机译：有界对称域上的不变Frechet代数。
7. CONVERGENCE OF POISSON INTEGRALS FOR BOUNDED SYMMETRIC DOMAINS [O] . E. M. Stein, N. J. Weiss 1968

机译：有界对称域的Poisson积分的收敛性。
8. The N-Widths of Spaces of Holomorphic Functions on Bounded Symmetric Domains of Tube Type [O] . Ding Hongming, Gross Kenneth I., Richards Donald St.P. 2000

机译：管型有界对称域上全纯函数空间的N宽度

Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains

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