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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/32562
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/32562


    Title: Some Results on Holomorphic Mappings on C^n
    複 n 維空間上的解析映射
    Authors: 陳耿彥
    Chen Keng-Yen
    Contributors: 陳天進
    Chen Ten-Ging
    陳耿彥
    Chen Keng-Yen
    Keywords: complex Henon map
    Fatou-Bieberbach domain
    automorphism of C^n
    Date: 2002
    Issue Date: 2009-09-17 13:45:19 (UTC+8)
    Abstract: 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.
    Reference: [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.
    Description: 碩士
    國立政治大學
    應用數學研究所
    90751005
    91
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0090751005
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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