complex ellipsoid meaning in English

复数椭球体

But before yin weiping constructed hua domains , only there are two types of domains on which the bergman kernel functions can be obtained explicitly : the bounded homogeneous domains and the complex ellipsoid domains in some cases
能够求出bergman核函数的显表达式的域的种类并不多。在殷慰萍构造华罗庚域以前，只有两种类型的域可以求出bergman核函数的显表达式。
For some non - symmetric homogeneous domains , we can also get the explicit formulas of their bergman kernel functions by hua method [ xu4 ] [ gi ] . we know the complete orthonormal system of the bounded reinhardt domain made up of monomials , and complex ellipsoid domain is the bounded reinhardt domain , so the explicit formulas of the bergman kernel functions are obtained by summing an infinite series in some cases ( called method of summing series )
对于一些非对称的齐性域，也可以用华罗庚方法得到它们的bergman核函数的显表达式我们知道，有界reinhardt域的完备标准正交系由单项式组成，而复椭球域是包含原点且以原点为中心的有界reinhardt域，于是可以通过无穷级数求和函数的方法，计算其bergman核函数的显表达式，这种求bergman核函数的显表达式的方法称为级数法。