Envelopes of holomorphy of Jordan curves in \(\mathbb{C}^{n}\)

DOI10.1134/S0081543806020167zbMath1351.32019MaRDI QIDQ2342230

Gennadi M. Henkin

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Stein spaces (32E10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items

Spaces with polynomial hulls that contain no analytic discs ⋮ No topological condition implies equality of polynomial and rational hulls

Cites Work

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• A Cantor set in the unit sphere in \(\mathbb C^2\) with large polynomial hull
• Polynomial approximation on an arc in \(C^3\)
• On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables
• The hull of a curve in \(\mathbb C^n\)
• A new class of polynomially convex sets
• An extension theorem for the CR-functions
• Banach algebras and analytic functions
• On boundaries of complex analytic varieties. I
• Orthogonal measures on the boundary of a Riemann surface and polynomial hull of compacts of finite length
• Uniform approximation on smooth curves
• Holomorphic convexity and analytic structures in Banach algebras
• Subalgebras of Spaces of Continuous Functions
• Existence of Maximal Ideals in Algebras of Continuous Functions
• The Polynomial Hull of a Rectifiable Curve in C n
• Analyticity in Certain Banach Algebras
• Polynomial Hulls of Rectifiable Curves
• Uniform approximations by holomorphic functions