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pseudoconvex set

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  • 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

  • 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

  • Convex function — on an interval. A function (in black) is convex if and only i …   Wikipedia

  • Convex optimization — Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets. Given a real vector space X together with a convex, real valued function defined on a convex subset of X, the problem is to find …   Wikipedia

  • Quasiconvex function — In mathematics, a quasiconvex function is a real valued function defined on an interval or on a convex subset of a real vector space such that the inverse image of any set of the form ( infty,a) is a convex set. Definition and… …   Wikipedia

  • Shing-Tung Yau — at Harvard Law School dining hall Born …   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

  • Symplectic filling — In mathematics, a filling of a manifold X is a cobordism W between X and the empty set. More to the point, the n dimensional topological manifold X is the boundary of an n+1 dimensional manifold W . Perhaps the most active area of current… …   Wikipedia

  • Complex convexity — Definition A set Ω in is called convex if its intersection with any complex line is contractible. Background In complex geometry and analysis, the notion of convexity and its generalizations play an important role in understanding function… …   Wikipedia

  • Nessim Sibony — (* 1947[1]) ist ein französischer Mathematiker, der sich mit komplexer Analysis beschäftigt. Er ist Professor an der Universität Paris Süd in Orsay. Nessim Sibony 1967 in Erlangen Inhaltsverzeichnis …   Deutsch Wikipedia

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