Uniform approximation of functions continuous on a compact subset of \(\mathbb{C}\) and analytic in its interior by functions bianalytic in its neighborhoods

DOI10.1023/A:1002876419788zbMath1005.30026OpenAlexW350696413MaRDI QIDQ5951102

Maxim Ya Mazalov

Publication date: 5 February 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1002876419788

zbMATH Keywords

analytic functionmodulus of continuityLaurent seriesbianalytic functionDini continuityuniform approximation problemVerdera theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (4)

Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces ⋮ Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces ⋮ Approximation by convolution polyanalytic operators in the complex and quaternionic compact unit balls ⋮ On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk

This page was built for publication: Uniform approximation of functions continuous on a compact subset of \(\mathbb{C}\) and analytic in its interior by functions bianalytic in its neighborhoods