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Rigid characterizations of pseudoconvex domains (1012.6022v3)

Published 29 Dec 2010 in math.CV

Abstract: We prove that an open set $D$ in $\Cn$ is pseudoconvex if and only if for any $z\in D$ the largest balanced domain centered at $z$ and contained in $D$ is pseudoconvex, and consider analogues of that characterization in the linearly convex case.

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