Complex Convexity and Analytic Functionals by Mats Andersson, Mikael Passare, Ragnar Sigurdsson.
A set in complex Euclidean space is called C-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates between ordinary geometric convexity and pseudoconvexity. Their...
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