holomorphically convex domain

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Holomorphically convex hull — In mathematics, more precisely in complex analysis, the holomorphically convex hull of a given compact set in the n dimensional complex space C n is defined as follows. Let G subset {mathbb{C^n be a domain (an open and connected set), or… … Wikipedia
Convex set — A convex set … Wikipedia
Domain of holomorphy — The sets in the definition. In mathematics, in the theory of functions of several complex variables, a domain of holomorphy is a set which is maximal in the sense that there exists a holomorphic function on this set which cannot be extended to a… … Wikipedia
Stein manifold — In mathematics, a Stein manifold in the theory of several complex variables and complex manifolds is a complex submanifold of the vector space of n complex dimensions. The name is for Karl Stein. Definition A complex manifold X of complex… … Wikipedia
Pseudoconvexity — In mathematics, more precisely in the theory of functions of several complex variables, a pseudoconvex set is a special type of open set in the n dimensional complex space C n . Pseudoconvex sets are important, as they allow for classification of … Wikipedia

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