多复变数几何函数论勘误表

On Some Geometric Properties of Slice Regular Functions of a Quaternion Variable

The goal of this paper is to introduce and study some geometric properties of slice regular functions of quaternion variable like univalence, subordination, starlikeness, convexity and spirallikeness in the unit ball. We prove a number of results, among which an Area-type Theorem, Rogosinski inequality, and a Bieberbach-de Branges Theorem for a subclass of slice regular functions. We also discuss some geometric and algebraic interpretations of our results in terms of maps from $\mathbb R^4$ to itself. As a tool for subordination we define a suitable notion of composition of slice regular funct…

多复变量中有界点赋值的几何条件

Geometric conditions for bounded point evaluations in several complex variables

该研究针对多复变量中有界域上的解析函数空间$L^p_a(U)$，提出以Sobolev q-容量刻画有界点赋值的纯几何条件，将单变量相关结果推广至多复变量领域。

复标度与多变量几何分析

Complex Scaling and Geometric Analysis of Several Variables

作者研究的范围内的复杂域的自同构群在多维的研究尺度的方法。各种类型的缩放技术进行了比较和对比。应用程序中给出了一些领域的复杂几何分析。与其他数学部分的关系进行了说明。

在复数平面中通过线-圆周（LC）几何构造定位一元二次方程的根

Locating the roots of a quadratic equation in one variable through a Line-Circumference (LC) geometric construction in the plane of complex numbers

本文提出一种基于复平面中直线与圆周（LC）几何构造求解一元二次方程根的方法，该方法可扩展至三次及以上多项式的求根初始近似。