plurisubharmonic function
1Plurisubharmonic 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… …
2Subharmonic function — In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory. Intuitively, subharmonic functions are related to convex… …
3Pluripolar set — In mathematics, in the area of potential theory, a pluripolar set is the analog of a polar set for plurisubharmonic functions.DefinitionLet G subset {mathbb{C^n and let f colon G o {mathbb{R cup { infty } be a plurisubharmonic function which is… …
4Pseudoconvexity — 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 …
5List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …
6Stein 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… …
7CR manifold — In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge. Formally, a CR manifold is a… …
8Complex 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… …
