The degree of biholomorphic mappings between special domains in C-n preserving 0
文献类型：期刊论文
| 作者 | Ning, JiaFu1; Zhou, XiangYu2
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2017-06-01 |
| 卷号 | 60期号:6页码:1077-1082 |
| 关键词 | group action degree of polynomial mapping biholomorphic mapping Bergman kernel invariant domain |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-017-9048-y |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000400869600012 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25460]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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