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1.
华罗庚域的Bergman核函数   总被引:2,自引:1,他引:1  
给出了4类华罗庚域的Bergman核函数的显表达式.其关键之处有两点:一是给出了它们的全纯自同构群;二是引进了semi-Reinhardt域,并给出了它们的完备标准正交函数系.在此基础上,给出了它们的Bergman核函数的显表达式,这也是方法上的创新之处.  相似文献   

2.
第一类Cartan—Egg或的Bergman核函数   总被引:2,自引:1,他引:1  
殷慰萍 《数学进展》2001,30(6):533-542
以显式给出了第一类Cartan-Egg域的Bergman核函数及其全纯自同构群。  相似文献   

3.
第一类超Cartan域的Bergman核函数 *   总被引:22,自引:2,他引:20       下载免费PDF全文
殷慰萍 《中国科学A辑》1999,29(7):607-615
显式给出了第一类超Cartan域的Bergman核函数及其全纯自同构群  相似文献   

4.
第四类超Cartan域的Bergman核函数   总被引:13,自引:0,他引:13  
殷慰萍 《数学学报》1999,42(5):951-960
显式给出了第四类超Cartan域的Bergman核函数及其全纯自同构群.  相似文献   

5.
第二类超Cartan域的Bergman核函数   总被引:4,自引:0,他引:4  
本文绘出了第二类超Cartan域的Bergman核函数的显式及其全纯自同构群。  相似文献   

6.
第三类超Cartan域的Bergman核函数   总被引:22,自引:5,他引:17  
殷慰萍 《数学进展》2000,29(5):425-434
显式给出了第三类超Cartan域的Bergman核函数及其全纯自同构群。  相似文献   

7.
第二类超Cartan域的Bergman核函数   总被引:4,自引:0,他引:4  
殷慰萍 《数学年刊A辑》2000,21(3):331-340
本文给出了第二类超Cartan域的Bergman核函数的显式及其全纯自同构群.  相似文献   

8.
第三类华罗庚域的Bergman核函数   总被引:2,自引:0,他引:2  
本文主要是计算第三类华罗庚域的Bergman核函数的显式表达式.由于华罗庚域既不是齐性域又不是Reinhardt域,故以往求Bergman核函数的方法都行不通.本文用新的方法进行计算.关键之处有两点一是给出第三类华罗庚域的全纯自同构群,群中每一元素将形为(W,Z0)的内点映为点(W*,0);二是引进了semi-Reinhardt的概念并求出了其完备标准正交函数系.  相似文献   

9.
本文主要是计算第三类华罗庚域的Bergman核函数的显式表达式.由于华罗庚域既不是齐性域又不是Reinhardt域,故以往求Bergman核函数的方法都行不通.本文用新的方法进行计算.关键之处有两点:一是给出第三类华罗庚域的全纯自同构群,群中每一元素将形为(W,Z0)的内点映为点(W*,0);二是引进了semi—Reinhardt的概念并求出了其完备标准正交函数系.  相似文献   

10.
广义例外华罗庚域的Bergman核函数   总被引:1,自引:0,他引:1       下载免费PDF全文
计算出两类广义例外华罗庚域的Bergman核函数的显式表达式. 同时利用Appell的多变量的超几何函数给出了例外华罗庚域的Bergman核函数在边界点附近的渐近性质.  相似文献   

11.
The Bergman kernels on super-Car tan domains of the first type   总被引:4,自引:0,他引:4  
The Bergman kernel function and biholomorphic automorphism group for super-Cartan domain of the first type are given in explicit formulas.  相似文献   

12.
We define the Cartan–Hartogs domain, which is the Hartogs type domain constructed over the product of bounded Hermitian symmetric domains and compute the explicit form of the Bergman kernel for the Cartan–Hartogs domain using the virtual Bergman kernel. As the main contribution of this paper, we show that the main part of the explicit form of the Bergman kernel is a polynomial whose coefficients are combinations of Stirling numbers of the second kind. Using this observation, as an application, we give an algorithmic procedure to determine the condition that their Bergman kernel functions have zeros.  相似文献   

13.
We get the Bergman kernel functions in explicit formulas on four types of Hua domain.There are two key steps: First, we give the holomorphic automorphism groups of four types of Hua domain; second, we introduce the concept of semi-Reinhardt domain and give their complete orthonormal systems. Based on these two aspects we obtain the Bergman kernel function in explicit formulas on Hua domains.  相似文献   

14.
Bergman kernel on generalized exceptional hua domain   总被引:1,自引:0,他引:1  
We have computed the Bergman kernel functions explicitly for two types of generalized exceptional Hua domains, and also studied the asymptotic behavior of the Bergman kernel function of exceptional Hua domain near boundary points, based on Appell's multivariable hypergeometric function.  相似文献   

15.
New classes of domains with explicit Bergman kernel   总被引:9,自引:1,他引:8  
We introduce two classes of egg type domains, built on general bounded sym-metric domains, for which we obtain the Bergman kernel in explicit formulas. As an aux-iliary tool, we compute the integral of complex powers of the generic norm on a boundedsymmetric domains using the well-known integral of Selberg. This generalizes matrix in-tegrals of Hua and leads to a special polynomial with integer or half-integer coefficientsattached to each irreducible bounded symmetric domain.  相似文献   

16.
The first part of this paper discusses the motivation for the Lu Qi-Keng conjecture and the results about the presence or the absence of zeroes of the Bergman kernel function of a bounded domain in C~n.Its second part summarizes the main results on the Hua domains,such as the explicit Bergman kernel function,the comparison theorem for the invariant metrics,the explicit complete Einstein-K(?)hler metrics,the equivalence between the Einstein-K(?)hler metric and the Bergman metric,etc.  相似文献   

17.
The authors give the condition that the Bergman kernel function on the first type of Cartan-Hartogs domain exists zeros. If the Bergman kernel function of this type of domain has zeros, the zero set is composed of several path-connected branches, and there exists a continuous curve to connect any two points in the non-zero set.  相似文献   

18.
TheBergmanKernelFunctionandFullGroupofHolomorphicAutomorphismonaReinhardtDomainGuanBinxin(管冰辛)WangAn(王安)(Dept.ofMath.,Capital...  相似文献   

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