The polynomial hull of a set of finite linear measure in \({\mathbb{C}}^ n\)

DOI10.1007/BF02792540zbMath0615.32009MaRDI QIDQ1820900

Herbert J. Alexander

Publication date: 1986

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

analytic subsetpolynomially convex hullfinite linear measure

Mathematics Subject Classification ID

Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Analytic subsets and submanifolds (32C25)

Related Items (7)

Polynomial hulls and positive currents ⋮ Polynomial hull of a compact set of finite length and holomorphic chains with rectifiable boundary ⋮ The length of a set in the sphere whose polynomial hull contains the origin ⋮ A Cantor set in the unit sphere in \(\mathbb C^2\) with large polynomial hull ⋮ Hausdorff dimension of Cantor sets and polynomial hulls ⋮ Orthogonal measures on the boundary of a Riemann surface and polynomial hull of compacts of finite length ⋮ Polynomially convex arcs in polynomially convex simple closed curves

Cites Work

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• The hull of a curve in \(\mathbb C^n\)
• Polynomial convexity and sets of finite linear measure in CLambda
• Polynomially and rationally convex sets
• Analyticity in Certain Banach Algebras
• Polynomial Approximation and Hulls in Sets in Finite Linear Measure in C n
• A nontrivial normal sup norm algebra

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