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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
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
[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
Source URI:
Data Type: thesis
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