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Article Dans Une Revue Indiana University Mathematics Journal Année : 2012

Rigid characterizations of pseudoconvex domains

Résumé

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

Dates et versions

hal-00641762 , version 1 (16-11-2011)

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Citer

Nikolai Nikolov, Pascal J. Thomas. Rigid characterizations of pseudoconvex domains. Indiana University Mathematics Journal, 2012, 61 (3), pp.1313-1323. ⟨10.1512/iumj.2012.61.4657⟩. ⟨hal-00641762⟩
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