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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
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2001025
Page Count: 13
You can always find the topics here!Topics: Polynomials, Automorphisms, Degrees of polynomials, Coordinate systems, Mathematical vectors
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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.
Transactions of the American Mathematical Society © 1989 American Mathematical Society