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- Holomorphically_convex_hull abstract "In mathematics, more precisely in complex analysis, the holomorphically convex hull of a given compact set in the n-dimensional complex space Cn is defined as follows. Let be a domain (an open and connected set), or alternatively for a more general definition, let be an dimensional complex analytic manifold. Further let stand for the set of holomorphic functions on For a compact set , the holomorphically convex hull of is (One obtains a narrower concept of polynomially convex hull by requiring in the above definition that f be a polynomial.)The domain is called holomorphically convex if for every compact in , is also compact in . Sometimes this is just abbreviated as holomorph-convex.When , any domain is holomorphically convex since then is the union of with the relatively compact components of . Also note that being holomorphically convex is the same as being a domain of holomorphy (The Cartan–Thullen theorem). These concepts are more important in the case n > 1 of several complex variables.".
- Holomorphically_convex_hull wikiPageID "2782809".
- Holomorphically_convex_hull wikiPageRevisionID "487280631".
- Holomorphically_convex_hull hasPhotoCollection Holomorphically_convex_hull.
- Holomorphically_convex_hull id "6798".
- Holomorphically_convex_hull title "Holomorphically convex".
- Holomorphically_convex_hull subject Category:Several_complex_variables.
- Holomorphically_convex_hull type PhysicalEntity100001930.
- Holomorphically_convex_hull type SeveralComplexVariables.
- Holomorphically_convex_hull type Thing100002452.
- Holomorphically_convex_hull type Variable109468959.
- Holomorphically_convex_hull comment "In mathematics, more precisely in complex analysis, the holomorphically convex hull of a given compact set in the n-dimensional complex space Cn is defined as follows. Let be a domain (an open and connected set), or alternatively for a more general definition, let be an dimensional complex analytic manifold.".
- Holomorphically_convex_hull label "Holomorphically convex hull".
- Holomorphically_convex_hull sameAs m.082dlq.
- Holomorphically_convex_hull sameAs Q17030503.
- Holomorphically_convex_hull sameAs Q17030503.
- Holomorphically_convex_hull sameAs Holomorphically_convex_hull.
- Holomorphically_convex_hull wasDerivedFrom Holomorphically_convex_hull?oldid=487280631.
- Holomorphically_convex_hull isPrimaryTopicOf Holomorphically_convex_hull.