| 一类无界域的Szegö核 |
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| 引用本文： | 冯志明,王磊.一类无界域的Szegö核[J].数学杂志,2015,35(3):519-529. |
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| 作者姓名： | 冯志明 王磊 |
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| 作者单位： | 乐山师范学院数学与信息科学学院, 四川 乐山 614000,武汉大学数学与统计学院, 湖北 武汉 430072 |
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| 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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| 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.
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| 关 键 词： | Szegö核 Cartan域 对称Jack多项式 广义Selberg积分 |
| 收稿时间： | 2013/6/28 0:00:00 |
| 修稿时间： | 2013/11/26 0:00:00 |
SZEGÖ KERNELS ON CERTAIN UNBOUNDEDDOMAINS |
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| FENG Zhi-ming and WANG Lei.SZEGÖ KERNELS ON CERTAIN UNBOUNDEDDOMAINS[J].Journal of Mathematics,2015,35(3):519-529. |
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| Authors: | FENG Zhi-ming and WANG Lei |
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| Institution: | School of Mathematical and Information Sciences, Leshan Normal College, Leshan 614000, China and School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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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. |
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| Keywords: | Szegö kernel Cartan domain symmetric Jack polynomial generalized Selberg integral |
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