Approximation by entire functions on a countable union of segments on the real axis. III: Further generalization

DOI10.3103/S1063454118020085zbMath1405.30036OpenAlexW2808340931MaRDI QIDQ1792334

Nikolai Shirokov, O. V. Sil'vanovich

Publication date: 11 October 2018

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454118020085

zbMATH Keywords

entire functions of exponential typesmooth functionsapproximation on a subset of the real axis

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (3)

Entire functions of order 1/2 in the approximation to functions on a semiaxis ⋮ Approximation by entire functions on a countable set of continua ⋮ A note on approximation by trigonometric polynomials

Cites Work

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• The pseudoanalytic extension
• Approximation by entire functions on countable unions of segments of the real axis. II: Proof of the main theorem
• Approximations by entire functions on countable unions of segments of the real axis
• Pseudoanalytic extension of smooth functions. The uniform scale
• CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY

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