Pluriharmonic Functions on Bounded Symmetric Domains of C^n  

Pluriharmonic Functions on Bounded Symmetric Domains of C^n

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作  者:肖建斌 

机构地区:[1]Department-of Mathematics, Hunan Normal University

出  处:《Chinese Science Bulletin》1993年第17期1409-1413,共5页

摘  要:1 Introduction Let Ω be a bounded symmetric domain in the complex vector space C<sup>n</sup>, 0∈Ω, with Bergman-Silov boundary b, Γ the group of holomorphic automorphisms of Ω and Γ<sub>0</sub> its isotropy group. It is known that Ω is circular and star-shaped with respect to 0 and that b is circular. The group Γ<sub>0</sub> is transitive on b and b has a unique normalized Γ<sub>0</sub>-invariant measure σ with σ(b)= 1. Hua constructed by group representation theory a system {φ<sub>k<sub>v</sub></sub>}

关 键 词:BOUNDED SYMMETRIC domain pluriharmonic function SELF-CONJUGATE space. 

分 类 号:N[自然科学总论]

 

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