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Antistable classes of thin sets in harmonic analysis

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Publication:1320922
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zbMath0793.42003MaRDI QIDQ1320922

Sylvain Kahane

Publication date: 8 August 1994

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

instabilitythin setsincreasing union\(H\)-setsArbault setscompact Dirichlet setsHausdorff operationsets of absolute convergence


Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Convergence and absolute convergence of Fourier and trigonometric series (42A20)


Related Items (5)

Unnamed Item ⋮ On a new class of trigonometric thin sets extending Arbault sets ⋮ Eggleston's dichotomy for characterized subgroups and the role of ideals ⋮ On the complexity of sums of Dirichlet measures ⋮ A classification of trigonometrical thin sets and their interrelations







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