Absolutely convergent Fourier series, classical function classes and Paley's theorem

DOI10.1007/S10476-008-0402-4zbMath1199.42028OpenAlexW1500427076MaRDI QIDQ963247

Ferenc Móricz

Publication date: 8 April 2010

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-008-0402-4

zbMATH Keywords

Fourier seriesPaley's theorem

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (12)

Absolutely convergent Fourier-Bessel series and generalized Lipschitz classes ⋮ Mellin integral transforms and generalized Lipschitz and Zygmund spaces ⋮ Fourier cosine and sine transforms and generalized Lipschitz classes in the uniform metric ⋮ Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes ⋮ Sine, cosine transforms and classical function classes ⋮ Discrete Fourier-Jacobi transform and generalized Lipschitz classes ⋮ Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series ⋮ Absolutely convergent \(q\)-Dunkl integrals and classical function spaces ⋮ Quaternion Fourier transform and generalized Lipschitz classes ⋮ Fourier transforms and generalized Lipschitz classes in uniform metric ⋮ Boas-type theorems for the \(q\)-Bessel Fourier transform ⋮ Boas-type theorems for the Bessel transform

Cites Work

• Absolutely convergent Fourier series and function classes
• Absolutely convergent Fourier series and function classes. II
• Fourier series with positive coefficients
• On Fourier Series with Positive Coefficients
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