On a conjecture of Mergelyan

DOI10.3103/S1068362308060046zbMath1302.30044OpenAlexW1965516267WikidataQ123122125 ScholiaQ123122125MaRDI QIDQ736246

James E. Brennan

Publication date: 27 October 2009

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362308060046

zbMATH Keywords

weighted polynomial approximationanalytic capacity

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Analytic continuation of functions of one complex variable (30B40)

Related Items

Three Problems in Function Theory

Cites Work

• Point evaluations, invariant subspaces and approximation in the mean by polynomials
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• Approximation in the mean by polynomials on non-Caratheodory domains
• Aspects of approximation theory for functions of one complex variable
• Painlevé's problem and the semiadditivity of analytic capacity.
• The Cauchy integral, analytic capacity, and uniform rectifiability
• Invariant subspaces and weighted polynomial approximation
• Analytic continuation across a linear boundary
• Weighted polynomial approximation, quasianalyticity and analytic continuation.
• The Cauchy integral and analytic continuation
• On approximation to an analytic function by polynomials
• Approximation in the mean by polynomials
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