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| 摘要: |
| 本文研究了由任意不可约有界齐次圆域构造的一类无界域Dψ的Szegö核.利用Cartan域上一类积分的明显表达式,获得了无界域Dψ的Szegö核的明显公式. |
| 关键词: Szegö核 Cartan域 对称Jack多项式 广义Selberg积分 |
| DOI： |
| 分类号:O174.56 |
| 基金项目:Supported by by the Scientiflc Research Fund of Sichuan Provincial Education Department (15ZA0284); National Natural Science Foundation of China (11271291). |
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| SZEGÖ KERNELS ON CERTAIN UNBOUNDEDDOMAINS |
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FENG Zhi-ming,WANG Lei
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| Abstract: |
| The Szegö kernel of the unbounded domain Dψ which was built on an arbitrary irreducible bounded circled homogeneous domain is considered. Using an explicit expression of certain integral over Cartan domain, we obtain the Szegö kernel on domain Dψ in explicit formula. |
| Key words: Szegö kernel Cartan domain symmetric Jack polynomial generalized Selberg integral |
