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https://ah.lib.nccu.edu.tw/handle/140.119/32562| 題名: | Some Results on Holomorphic Mappings on C^n 複 n 維空間上的解析映射 |
作者: | 陳耿彥 Chen Keng-Yen |
貢獻者: | 陳天進 Chen Ten-Ging 陳耿彥 Chen Keng-Yen |
關鍵詞: | complex Henon map Fatou-Bieberbach domain automorphism of C^n |
日期: | 2002 | 上傳時間: | 17-九月-2009 | 摘要: | 在這篇論文裡，我們將列舉一些C^n上的解析自同構，並且探討它們的基本性質。同時，我們利用解析動態方法得到一類複域解析同構於C^n。 In this thesis, we present a large class of automorphisms of C^n and study their elementary properties. Also, we use the complex dynamic method to obtain a large class of\nFatou-Bieberbach domains in C^n, n≧2. |
參考文獻: | [1] S. Bochner and W. Martin, Several Complex Variables, Princeton University Press, NJ, 1948. [2] T. G. Chen, A Class of Fatou-Bieberbach Domain in C^3, Math Sciences Research Hotline, 5(12) 2001, pp. 39-45. [3] F. Forstneric, Holomorphic Automorphisms of C^n: A Survey. (Proceedings `Complex Analysis and Geometry`, Ed. V. Ancona, E. Ballico, A. Silva; pp. 173-120) Lecture Notes in Pure and Applied Mathematics 173, New York: Marcel Dekker (1996). [4] S. Krantz and R. Greene, Function Theory of One Complex Variable, John Wiley and Sons, New York, 1997. [5] S. Krantz, Function Theory of Several Complex Variables, 2nd ed., Wadsworth, Belmont, CA, 1992. [6] R. Michael Range, Holomorphic Functions and Integral Representations in Several Complex Variables, Springer- Verlag, New York, 1986. [7] J. P. Rosay and W. Rudin, Holomorphic maps from C^n to C^n, Trans. Amer. Math. Soc., 310(1988), pp. 47-86. |
描述: | 碩士 國立政治大學 應用數學研究所 90751005 91 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0090751005 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 75100501.pdf | 75.76 kB | Adobe PDF2 | View/Open | |
| 75100502.pdf | 51.56 kB | Adobe PDF2 | View/Open | |
| 75100503.pdf | 78.11 kB | Adobe PDF2 | View/Open | |
| 75100504.pdf | 186.51 kB | Adobe PDF2 | View/Open | |
| 75100505.pdf | 47.89 kB | Adobe PDF2 | View/Open |
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