Example of a thick polynomially convex compact subset of space C\(^2\), with connected interior, on which not every continuous function analytic at interior points is uniformly approximable by polynomials

DOI10.1007/BF01099684zbMath0281.32011MaRDI QIDQ1843688

V. N. Senickin

Publication date: 1974

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (1)

Algebra of analytic functions continuous on a sphere with a perfect set of singularities, and polynomial approximation on dense compacta in \(\mathbb{C}^n\)

Cites Work

• A NONLOCAL FUNCTION ALGEBRA

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