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Condition R and proper holomorphic maps between equidimensional product domains
Condition R proper holomorphic maps equidimensional product domains Complex Variables
2012/4/17
We consider proper holomorphic mappings of equidimensional pseudoconvex domains in complex Euclidean space, where both source and target can be represented as Cartesian products of smoothly bounded do...
Factorisation of conformal maps on finitely connected domains
Factorisation of conformal maps finitely connected domains Complex Variables
2011/8/24
Abstract: Let $U$ be a multiply connected domain of the Riemann sphere $\hat{C}$ whose complement $\hat{C}\setminus U$ has $N<\infty$ components. We show that every conformal map on $U$ can be written...