Titlebook: Complex Convexity and Analytic Functionals; Mats Andersson,Ragnar Sigurdsson,Mikael Passare Book 2004 Springer Basel AG 2004 Pseudoconvexi

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0743-1643 st comprehensive account of the theory, as well as its appli.A set in complex Euclidean space is called .C.-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates b

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Analytic Solutions to Partial Differential Equations,n 4.2 we study conditions for surjectivity of an operator .(∂). We introduce the concept of .-convexity for carriers and prove that a polynomially convex domain . is .-convex for carriers if and only of if .(∂) is surjective on .. For operators of the type 〈., ∂〉 we give a necessary and sufficient c

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Zhenzhou Tian,Binhui Tian,Jiajun Lvn 4.2 we study conditions for surjectivity of an operator .(∂). We introduce the concept of .-convexity for carriers and prove that a polynomially convex domain . is .-convex for carriers if and only of if .(∂) is surjective on .. For operators of the type 〈., ∂〉 we give a necessary and sufficient c