Local polynomial convexity of graphs of functions in several variables

被引：2
|
作者：
Kieu Phuong Chi [1 ]
机构：
[1] Vinh Univ, Dept Math, Vinh City, Vietnam
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 01期
关键词：
Polynomially convex; Plurisubharmonic; Totally real; Polynomial approximation; CR SINGULARITIES; APPROXIMATION; SURFACES;
D O I：
10.1016/j.jmaa.2015.08.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the locally polynomial convexity of graphs of smooth functions in several variables. We also give a sufficient condition for a real analytic function g defined near 0 in C which behaves like (Z) over bar (n) near the origin so that the algebra generated by z(m) and g is dense in the space of continuous functions on D for all disks D close enough to the origin in C. (C) 2015 Elsevier Inc. All rights reserved.
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页码：473 / 486
页数：14
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