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Holomorphic Maps from $C^n$ to $C^n$

Jean-Pierre Rosay and Walter Rudin
Transactions of the American Mathematical Society
Vol. 310, No. 1 (Nov., 1988), pp. 47-86
DOI: 10.2307/2001110
Stable URL: http://www.jstor.org/stable/2001110
Page Count: 40
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Holomorphic Maps from $C^n$ to $C^n$
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Abstract

We study holomorphic mappings from $C^n$ to $C^n$, and especially their action on countable sets. Several classes of countable sets are considered. Some new examples of Fatou-Bieberbach maps are given, and a nondegenerate map is constructed so that the volume of the image of $C^n$ is finite. An Appendix is devoted to the question of linearization of contractions.

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