Elementary Proof of the Rudin-Carleson and the F. and M. Riesz Theorems

DOI10.2307/2043778zbMath0478.30028OpenAlexW4246589859MaRDI QIDQ3935479

R. Doss

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043778

zbMATH Keywords

F. and M. Riesz theoremtrigonometric polynomialmeasure of analytic typecontinuous function of analytic typeRudin- Carleson theorem

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Approximation in the complex plane (30E10)

Related Items (5)

Fatou's interpolation theorem implies the Rudin-Carleson theorem ⋮ Algebras containing a divisible unimodular sequence with dense self adjoint span ⋮ Letter to the editor: a complex approximation lemma ⋮ A Rudin-Carleson theorem for planar vector fields ⋮ The F. and M. Riesz Theorem and Singular Measures

Cites Work

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• Representations of continuous functions
• Boundary Values of Continuous Analytic Functions
• Shorter Notes: A Short Proof of the F. and M. Riesz Theorem

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