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Proper Holomorphic Mappings from the Two-ball to the Three-ball

J. A. Cima and T. J. Suffridge
Transactions of the American Mathematical Society
Vol. 311, No. 1 (Jan., 1989), pp. 227-239
DOI: 10.2307/2001025
Stable URL: http://www.jstor.org/stable/2001025
Page Count: 13
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Proper Holomorphic Mappings from the Two-ball to the Three-ball
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Abstract

We prove that a proper mapping of the two ball in $C^n$ 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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