The degree of biholomorphic mappings between special domains in C-n preserving 0

doi:10.1007/s11425-017-9048-y

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	The degree of biholomorphic mappings between special domains in C-n preserving 0
	Ning, JiaFu 1; Zhou, XiangYu2
	2017-06-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	60 期号:6 页码:1077-1082
摘要	Let G (i) be a closed Lie subgroup of U(n), Omega (i) be a bounded G (i) -invariant domain in C (n) which contains 0, and , for i = 1; 2. If f: Omega(1) -> Omega(2) is a biholomorphism, and f(0) = 0, then f is a polynomial mapping (see Ning et al. (2017)). In this paper, we provide an upper bound for the degree of such polynomial mappings. It is a natural generalization of the well-known Cartan's theorem.
关键词	group action degree of polynomial mapping biholomorphic mapping Bergman kernel invariant domain
DOI	10.1007/s11425-017-9048-y
语种	英语
资助项目	National Natural Science Foundation of China[11501058] ; National Natural Science Foundation of China[11431013] ; Fundamental Research Funds for the Central Universities[0208005202035] ; Key Research Program of Frontier Sciences, Chinese Academy of Sciences[QYZDY-SSW-SYS001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000400869600012
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25461
专题	数学所
通讯作者	Zhou, XiangYu
作者单位	1.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Ning, JiaFu,Zhou, XiangYu. The degree of biholomorphic mappings between special domains in C-n preserving 0[J]. SCIENCE CHINA-MATHEMATICS,2017,60(6):1077-1082.
APA	Ning, JiaFu,&Zhou, XiangYu.(2017).The degree of biholomorphic mappings between special domains in C-n preserving 0.SCIENCE CHINA-MATHEMATICS,60(6),1077-1082.
MLA	Ning, JiaFu,et al."The degree of biholomorphic mappings between special domains in C-n preserving 0".SCIENCE CHINA-MATHEMATICS 60.6(2017):1077-1082.