On uniform approximation by $ n$-analytic functions on closed sets in $ \mathbb C$

DOI10.1070/IM2004v068n03ABEH000484zbMath1069.30076OpenAlexW2017303003MaRDI QIDQ4674643

Peter V. Paramonov, André Boivin, Paul M. Gauthier

Publication date: 17 May 2005

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

Full work available at URL: https://doi.org/10.1070/im2004v068n03abeh000484

zbMATH Keywords

rational approximationpolyanalytic functionNevanlinna domainCarthéodory domainn-analytic function

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (13)

Density of certain polynomial modules ⋮ Cauchy and Poisson formulas for polyanalytic functions and applications ⋮ \(C^m\)-approximation by polyanalytic polynomials on compact subsets of the complex plane ⋮ Uniform approximation by polynomial solutions of elliptic systems on boundaries of Carathéodory domains in \(\mathbb{R}^2\) ⋮ Nevanlinna domains and uniform approximation by polyanalytic polynomial modules ⋮ New conditions for uniform approximation by polyanalytic polynomials ⋮ The Life and Work of André Boivin ⋮ Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions ⋮ On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity ⋮ Nevanlinna domains with large boundaries ⋮ On $\mathcal {C}^m$-approximability of functions by polynomial solutions of elliptic equations on plane compact sets ⋮ Uniform approximation by polynomial solutions of second-order elliptic equations, and the corresponding Dirichlet problem ⋮ On some properties and examples of Nevanlinna domains

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