New conditions for uniform approximation by polyanalytic polynomials

DOI10.1134/S0081543812080159zbMath1298.30029OpenAlexW2001012307MaRDI QIDQ461053

J. Herrera, D. Rodríguez-Gómez

Publication date: 9 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543812080159

zbMATH Keywords

approximationpolyanalytic polynomials

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items

Cauchy and Poisson formulas for polyanalytic functions and applications ⋮ Analytic balayage of measures, Carathéodory domains, and badly approximable functions in \(L^p\) ⋮ Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces ⋮ Uniform approximation by polynomial solutions of elliptic systems on boundaries of Carathéodory domains in \(\mathbb{R}^2\) ⋮ Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces ⋮ Approximation by convolution polyanalytic operators in the complex and quaternionic compact unit balls ⋮ Carathéodory sets and analytic balayage of measures

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• The structure of certain measures
• Regularity of a boundary having a Schwarz function
• Mergelyan's approximation theorem for rational modules
• Domains on which analytic functions satisfy quadrature identities
• On some properties and examples of Nevanlinna domains
• Boundary regularity of Nevanlinna domains and univalent functions in model subspaces
• On uniform approximation by $ n$-analytic functions on closed sets in $ \mathbb C$

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