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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Holomorphic maps from $\textbf {C}^ n$ to $\textbf {C}^ n$
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by Jean-Pierre Rosay and Walter Rudin
Trans. Amer. Math. Soc. 310 (1988), 47-86
DOI: https://doi.org/10.1090/S0002-9947-1988-0929658-4

Abstract:

We study holomorphic mappings from ${{\mathbf {C}}^n}$ to ${{\mathbf {C}}^n}$, 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 ${{\mathbf {C}}^n}$ is finite. An Appendix is devoted to the question of linearization of contractions.
References
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 310 (1988), 47-86
  • MSC: Primary 32H35
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0929658-4
  • MathSciNet review: 929658