The Set of Continuous Functions with the Everywhere Convergent Fourier Series

DOI10.2307/2000906zbMath0633.04004OpenAlexW4251017824MaRDI QIDQ3770542

Alexander S. Kechris, Miklós Ajtai

Publication date: 1987

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000906

zbMATH Keywords

continuous functionscoanalytic rank functioncomplete coanalytic seteverywhere convergent Fourier series

Mathematics Subject Classification ID

Descriptive set theory (03E15) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Banach spaces of continuous, differentiable or analytic functions (46E15) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (8)

A generalization of Pisier homogeneous Banach algebra ⋮ On the Denjoy rank, the Kechris-Woodin rank and the Zalcwasser rank ⋮ Three ordinal ranks for the set of differentiable functions ⋮ On the set of all continuous functions with uniformly convergent Fourier series ⋮ The Kechris-Woodin Rank is Finer Than the Zalcwasser Rank ⋮ Computable structures and operations on the space of continuous functions ⋮ Uniqueness of trigonometric series and descriptive set theory, 1870-1985 ⋮ Simply connected compact subsets of the plane

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