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several complex variables, a pseudoconvex set is a special type of open set in the n-dimensional complex space Cn. Pseudoconvex sets are important, as they...

analysis and the calculus of variations, both branches of mathematics, a pseudoconvex function is a function that behaves like a convex function with respect...

it was named by Levi as a pseudoconvex domain (Hartogs's pseudoconvexity). Pseudoconvex domain (boundary of pseudoconvexity) are important, as they allow...

depend on the pseudoconvexity. This nomenclature comes from the study of pseudoconvex domains: M is the boundary of a (strictly) pseudoconvex domain in C...

Logarithmically concave function Pseudoconvexity in the sense of several complex variables (not generalized convexity) Pseudoconvex function Invex function Concavification...

A Small Boundary for H ∞ {\displaystyle H^{\infty }} on a Strictly Pseudoconvex Domain, concerned functional analysis, and was supervised by R. Michael...

study of the asymptotics of the Bergman kernel off the boundaries of pseudoconvex domains in C n {\displaystyle \mathbb {C} ^{n}} . He has studied mathematical...

University of Washington under Edgar Lee Stout with thesis Embedding Strictly Pseudoconvex Domains in Convex Domains. At Princeton University he became in 1974...

Kohn with thesis Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains. He is a professor at Purdue University. He solved a boundary...

equivalent to being a (complex) strongly pseudoconvex manifold. The latter means that it has a strongly pseudoconvex (or plurisubharmonic) exhaustive function...

Geometrically, these classes of functions correspond to convex domains and pseudoconvex domains, but there are also other types of domains, for instance lineally...

III], Kuranishi developed the theory of harmonic integrals on strongly pseudoconvex CR structures over small balls along the line developed by D. C. Spencer...

are: Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains Finsler Metrics – A Global Approach DESIGN AND VERIFICATION OF...

The characterization of domains of holomorphy leads to the notion of pseudoconvexity. Cauchy–Riemann equations Holomorphic function Paley–Wiener theorem...

agree on convex domains. He further proved that a compact, strictly pseudoconvex real analytic hypersurface can be embedded into the unit sphere of a...

surely to a global minimum when the objective function is convex or pseudoconvex, and otherwise converges almost surely to a local minimum. This is in...

several complex variables, plurisubharmonic functions are used to describe pseudoconvex domains, domains of holomorphy and Stein manifolds. The main geometric...

metrics of negative scalar curvature on any bounded, smooth, and strictly pseudoconvex subset of complex Euclidean space.[CY80] These can be thought of as complex...

the derivative Karamata's inequality Logarithmically convex function Pseudoconvex function Quasiconvex function Subderivative of a convex function "Lecture...

-holomorphic function defined on a bounded Stein manifold (such as a pseudoconvex compact set in C n {\displaystyle \mathbb {C} ^{n}} of dimension less...