strongly pseudoconvex domain

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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
Convex function — on an interval. A function (in black) is convex if and only i … Wikipedia
Plurisubharmonic function — In mathematics, plurisubharmonic functions form an important class of functions used in complex analysis. On a Kahler manifold,plurisubharmonic functions form a subset of the subharmonic functions. However, unlikesubharmonic functions (which are… … Wikipedia

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