Definition of Pseudoconvexity. Meaning of Pseudoconvexity. Synonyms of Pseudoconvexity

- function. In one complex dimension, every open domain is pseudoconvex. The concept of pseudoconvexity is thus more useful in dimensions higher than 1. Analytic...
- it was named by Levi as a pseudoconvex domain (Hartogs's pseudoconvexity). Pseudoconvex domain (boundary of pseudoconvexity) are important, as they allow...
- of η {\displaystyle \eta } -pseudoconvexity and η {\displaystyle \eta } -pseudolinearity; wherein classical pseudoconvexity and pseudolinearity pertain...
- depend on the pseudoconvexity. This nomenclature comes from the study of pseudoconvex domains: M is the boundary of a (strictly) pseudoconvex domain in C...
- to study smooth but not holomorphic functions, see for example Levi pseudoconvexity. When dealing with holomorphic functions, we could consider the Hessian...
- The characterization of domains of holomorphy leads to the notion of pseudoconvexity. Cauchy–Riemann equations Holomorphic function Paley–Wiener theorem...
- Logarithmically concave function Pseudoconvexity in the sense of several complex variables (not generalized convexity) Pseudoconvex function Invex function Concavification...
- functions of several complex variables he introduced the concept of pseudoconvexity during his investigations on the domain of existence of such functions:...
- theorem Holomorphically convex hull Integrally-convex set John ellipsoid Pseudoconvexity Radon's theorem Shapley–Folkman lemma Symmetric set Morris, Carla C...
- monotone property, pseudoconvexity, which is a stronger property than quasiconvexity. A linear-fractional objective function is both pseudoconvex and pseudoconcave...