Symmetry and Uniform Approximation by Analytic Functions

DOI10.2307/2046392zbMath0652.30027OpenAlexW4231900148MaRDI QIDQ3797462

Dmitry Khavinson

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046392

zbMATH Keywords

Schwarz functionanalytic content

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (5)

Approximation by harmonic functions in the \(C^ 1\)-norm and harmonic \(C^ 1\)-content of compact subsets in \(\mathbb{R}^ n\) ⋮ The isoperimetric inequality via approximation theory and free boundary problems ⋮ A Thought on Approximation by Bi-Analytic Functions ⋮ A free boundary problem associated with the isoperimetric inequality ⋮ Overdeterminded boundary value problems, quadrature domains and applications

Cites Work

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• Annihilating measures of the algebra R(X)
• On an extremal problem in the theory of rational approximation
• Quadrature domains
• Domains on which analytic functions satisfy quadrature identities
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• Projections of polynomial hulls
• Foundations of the theory of extremal problems for bounded analytic functions and various generalizations of them
• The Isoperimetric Inequality and Rational Approximation

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