A Growth Condition for Fourier Coefficients of Functions of Bounded Entropy Norm

DOI10.2307/2048737zbMath0718.42007OpenAlexW4255410249MaRDI QIDQ5749782

W. Christopher Lang

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048737

zbMATH Keywords

Fourier coefficientsgrowth conditionrandom Fourier seriesfunctions of bounded entropy norm

Mathematics Subject Classification ID

Gaussian processes (60G15) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Banach spaces of continuous, differentiable or analytic functions (46E15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (1)

On Korenblum convex functions

Cites Work

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• Integration by Parts for Stieltjes Integrals
• Probability Measure Representation of Norms Associated with the Notion of Entropy
• On a Natural Connection Between the Entropy Spaces and Hardy Space Re H 1
• On Fourier coefficients of a continuous periodic function of bounded entropy norm
• On a Class of Banach Spaces of Functions Associated With the Notion of Entropy

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