The decomposition theorems of convex mappings 

in several complex variables

Sheng GONG
USTC, China

Abstract

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The first decompoition theorem was given by Ted Suffridge in 1970. He proved that: The convex biholomorphic mapping on the polydisk in Cⁿ can be decomposed as the direct product of n convex biholomorphic functions on unit disk in C.  We   developed it and established a series of decomposition theorems.