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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Proper holomorphic mappings from the two-ball to the three-ball


Authors: J. A. Cima and T. J. Suffridge
Journal: Trans. Amer. Math. Soc. 311 (1989), 227-239
MSC: Primary 32H35
MathSciNet review: 951881
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Abstract: We prove that a proper mapping of the two ball in $ {\mathbf{C}^{n}}$ into the three ball, which is $ {C^2}$ on the closed two ball is equivalent to one of four normalized polynomial mappings. This improves the known result of Faran. The proof is basic using Taylor expansions.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0951881-4
PII: S 0002-9947(1989)0951881-4
Article copyright: © Copyright 1989 American Mathematical Society