The class $R$ and finely analytic functions

DOI10.1070/SM8846zbMath1411.30033OpenAlexW2800902510MaRDI QIDQ4610345

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Publication date: 15 January 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8846

zbMATH Keywords

fine topologyHankel determinantrational approximationfinely analytic functionGonchar class

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Finely holomorphic functions and topological function theory (30G12)

Related Items (1)

Fine-analytic Functions in C ⁿ

Cites Work

• The pluripolar hull of a graph and fine analytic continuation
• Pluripolar hulls
• Determination of the pluripolar hull of graphs of certain holomorphic functions.
• Extension of holomorphic and pluriharmonic functions with thin singularities on parallel sections
• Removable singularities of holomorphic functions
• RATIONAL APPROXIMATION AND PLURIPOLAR SETS
• A CRITERION FOR RAPID RATIONAL APPROXIMATION IN $ \mathbf{C}^n$
• ON CONTINUATION OF FUNCTIONS WITH POLAR SINGULARITIES
• The pluripolar hull of the graph of a holomorphic function with polar singularities
• On removable singularities of complex analytic sets
• Graphs that are not complete pluripolar
• Complete pluripolar curves and graphs
• On holomorphic continuation of functions defined on a pencil of boundary complex lines
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