Fatou's interpolation theorem implies the Rudin-Carleson theorem

DOI10.1007/s00041-016-9481-yzbMath1375.30091arXiv1510.01410OpenAlexW2254179588MaRDI QIDQ2360575

Arthur A. Danielyan

Publication date: 4 July 2017

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01410

zbMATH Keywords

disc algebraFatou's interpolation theoremRudin-Carleson theorem

Mathematics Subject Classification ID

Algebras of analytic functions of one complex variable (30H50) Function theory on the disc (30J99)

Related Items

A proof of Fatou's interpolation theorem ⋮ A peak set with a maximal Hausdorff dimension on each slice ⋮ Interpolation by Bounded Analytic Functions and Related Questions ⋮ Letter to the editor: a complex approximation lemma ⋮ Peak sets and boundary interpolation sets for the unit disc: a survey

Cites Work

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• Representations of continuous functions
• On a polynomial approximation problem
• A Rudin-Carleson theorem for uniformly convergent Taylor series
• Boundary behavior of generalized analytic functions
• A Rudin-Carleson theorem for planar vector fields
• Boundary Values of Continuous Analytic Functions
• A General Rudin-Carleson Theorem
• Elementary Proof of the Rudin-Carleson and the F. and M. Riesz Theorems
• On simultaneous extension of continuous functions (A generalization of theorems of Rudin-Carleson and Bishop)