complete orthonormal system meaning in English
完备标准正交系
Examples
- The first chapter of this article consists of the following contents . suppose that are positive integers . , then the bergman kernel function for the second type of hua domain where determined by the following recursion formula : and where is determined by the following recursion formula : it is inappropriate to use holomorphic transitive group to compute the bergman kernel function of hen because he11 is not a homogeneous domain , and we can not obtain the bergman kernel function of hen by obtaining the sum of an infinite series as we compute the bergman kernel function of reinhardt domain . we firstly give some holomorphic automorphisms such that for any he there exists a holomorphic automorphism satisfying next , we introduce the concept of semi reinhardt domain and get its complete orthonormal system
结合上述两种方法就可获得he _的bergman核函数的显表达式，对于两类广义例外华罗庚域，还要用到jordantriplesystem的理论，才能求出其bergman核函数的显表达式： 2当是正整数，时，广义例外华罗庚域的bergman核函数其中满足如下的等式：于是，可从等式得到所有的a _ j , ry u dstu thalca000ereereereforfortheerethettithen其中广； k由下歹递推公式决定： 。 - 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。