Polynomial approximation on graphs

DOI10.1007/BF01458705zbMath0552.32013OpenAlexW2085569761MaRDI QIDQ801444

N. E. Zubov

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163841

zbMATH Keywords

polynomial approximationLipschitz conditionsCauchy-Fantappié-kernel

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38)

Related Items

Polynomial convexity and polynomial approximations of certain sets in \(\mathbb{C}^{2n}\) with non-isolated CR-singularities ⋮ Holomorphic approximation in \(C^ m\)-norms on totally real compact sets in \({\mathbb{C}}^ n\)

Cites Work

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• Inhomogeneous Cauchy-Riemann systems with smooth dependence on parameters
• Annihilators of rational modules
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• Parametrices and estimates for the $\bar \partial _b$ complex on strongly pseudoconvex boundaries
• Optimal Lipschitz and 𝐿^{𝑝} estimates for the equation \overline∂𝑢=𝑓 on strongly pseudo-convex domains
• Estimates for capacities, and approximation in Lipschitz norms.
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
• Singular integrals and estimates for the Cauchy-Riemann equations
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions

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