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Domains with pseudoconvex neighborhood systems
Fornaess, John Erik, Bedford, Eric
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WHAT IS...a Pseudoconvex Domain?
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∂-Problems on Strongly Pseudoconvex Domains
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Pseudoconvex domains over Grassmann manifolds
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∂-Problems on Strongly Pseudoconvex Domains
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Deformations of strictly pseudoconvex domains
Inventiones mathematicae, 1978Burns, D. jun. +2 more
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Boundary Invariants of Pseudoconvex Domains
The Annals of Mathematics, 1984Let \(\Omega \subseteq {\mathbb{C}}^ n\) be a smoothly bounded pseudoconvex domain. A notion of multitype of a point \(P\in \partial \Omega\) is introduced. This term is defined in terms of directional derivatives of a defining function for \(\partial \Omega\).
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Approximation on Pseudoconvex Domains
1980Here we discuss some problems in approximation which are related to the problem of finding pseudoconvex neighborhoods. Since we omit various topics, we refer the reader to the articles of Birtel [4], Henkin and Chirka [16], and Wells [28].
Eric Bedford, John Erik Fornaess
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Volume Approximations of Strongly Pseudoconvex Domains
The Journal of Geometric Analysis, 2016In affine convex geometry, the volume approximation of a \(C^2\)-smooth convex body by polyhedra with at most \(n\) facets can be asymptotically estimated by \(n^{-2/(d-1)}\) times \((d+1)/(d-1)\)-th power of the integral of the Blaschke surface area measure on the boundary of the convex body. In this article, the author studies the complex analogue of
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