- pseudoconvex set
- мат. псевдовыпуклое множество
Большой англо-русский и русско-английский словарь. 2001.
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
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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
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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
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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
