一类无界域的Szeg核（英文）  

SZEG KERNELS ON CERTAIN UNBOUNDED DOMAINS

作　　者：冯志明[1] 王磊[2] 

机构地区：[1]乐山师范学院数学与信息科学学院,四川乐山614000 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2015年第3期519-529,共11页Journal of Mathematics

基　　金：Supported by by the Scientific Research Fund of Sichuan Provincial Education Department(15ZA0284);National Natural Science Foundation of China(11271291)

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Szeg核.利用Cartan域上一类积分的明显表达式,获得了无界域Dψ的Szeg核的明显公式.The Szego kernel of the unbounded domain De 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 Szego kernel on domain Dψ in explicit formula.

关 键 词：Szego核 CARTAN域 对称Jack多项式 广义Selberg积分 

分 类 号：O174.56[理学—数学]