On a Class of Banach Spaces of Functions Associated With the Notion of Entropy

DOI10.2307/2000297zbMath0616.46024OpenAlexW4243104420MaRDI QIDQ4725164

Boris Korenblum

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000297

zbMATH Keywords

entropy integralsconvergence test for Fourier series which includes both the Dirichlet-Jordan and the Dini-Lipschitz testsentropy norm

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (5)

Rough functions: \(p\)-variation, calculus, and index estimation ⋮ On Fourier coefficients of a continuous periodic function of bounded entropy norm ⋮ On Korenblum convex functions ⋮ A Growth Condition for Fourier Coefficients of Functions of Bounded Entropy Norm ⋮ A Counterexample to an F. and M. Riesz-Type Theorem

Cites Work

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• A theory of entropy in Fourier analysis
• An extension of the Nevanlinna theory
• A Beurling-type theorem
• On convergence of Fourier series of functions of generalized bounded variation

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