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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-Sep-2009 13:45:19 (UTC+8)
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
Fatou-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
dc.contributor.advisor 陳天進zh_TW
dc.contributor.advisor Chen Ten-Gingen_US
dc.contributor.author (Authors) 陳耿彥zh_TW
dc.contributor.author (Authors) Chen Keng-Yenen_US
dc.creator (作者) 陳耿彥zh_TW
dc.creator (作者) Chen Keng-Yenen_US
dc.date (日期) 2002en_US
dc.date.accessioned 17-Sep-2009 13:45:19 (UTC+8)-
dc.date.available 17-Sep-2009 13:45:19 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 13:45:19 (UTC+8)-
dc.identifier (Other Identifiers) G0090751005en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32562-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學研究所zh_TW
dc.description (描述) 90751005zh_TW
dc.description (描述) 91zh_TW
dc.description.abstract (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。zh_TW
dc.description.abstract (摘要) 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
Fatou-Bieberbach domains in C^n, n≧2.
en_US
dc.description.tableofcontents Abstract i
中文摘要 ii
1. Introduction 1
2. The Automorphism Group of C 2
3. Some Examples of Automprphisms of C^n 5
4. A Class of n-Dimensional Complex Henon Maps 18
and Fatou-Bieberbach Domains in C^n
References 29
zh_TW
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dc.format.mimetype application/pdf-
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dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0090751005en_US
dc.subject (關鍵詞) complex Henon mapen_US
dc.subject (關鍵詞) Fatou-Bieberbach domainen_US
dc.subject (關鍵詞) automorphism of C^nen_US
dc.title (題名) Some Results on Holomorphic Mappings on C^nzh_TW
dc.title (題名) 複 n 維空間上的解析映射zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) [1] S. Bochner and W. Martin, Several Complex Variables,zh_TW
dc.relation.reference (參考文獻) Princeton University Press, NJ, 1948.zh_TW
dc.relation.reference (參考文獻) [2] T. G. Chen, A Class of Fatou-Bieberbach Domain in C^3, Mathzh_TW
dc.relation.reference (參考文獻) Sciences Research Hotline, 5(12) 2001, pp. 39-45.zh_TW
dc.relation.reference (參考文獻) [3] F. Forstneric, Holomorphic Automorphisms of C^n: A Survey.zh_TW
dc.relation.reference (參考文獻) (Proceedings `Complex Analysis and Geometry`, Ed. V.zh_TW
dc.relation.reference (參考文獻) Ancona, E. Ballico, A. Silva; pp. 173-120) Lecture Notes inzh_TW
dc.relation.reference (參考文獻) Pure and Applied Mathematics 173, New York: Marcel Dekkerzh_TW
dc.relation.reference (參考文獻) (1996).zh_TW
dc.relation.reference (參考文獻) [4] S. Krantz and R. Greene, Function Theory of One Complexzh_TW
dc.relation.reference (參考文獻) Variable, John Wiley and Sons, New York, 1997.zh_TW
dc.relation.reference (參考文獻) [5] S. Krantz, Function Theory of Several Complex Variables,zh_TW
dc.relation.reference (參考文獻) 2nd ed., Wadsworth, Belmont, CA, 1992.zh_TW
dc.relation.reference (參考文獻) [6] R. Michael Range, Holomorphic Functions and Integralzh_TW
dc.relation.reference (參考文獻) Representations in Several Complex Variables, Springer-zh_TW
dc.relation.reference (參考文獻) Verlag, New York, 1986.zh_TW
dc.relation.reference (參考文獻) [7] J. P. Rosay and W. Rudin, Holomorphic maps from C^n tozh_TW
dc.relation.reference (參考文獻) C^n, Trans. Amer. Math. Soc., 310(1988), pp. 47-86.zh_TW