A classification of trigonometrical thin sets and their interrelations

DOI10.1090/S0002-9939-97-03661-7zbMath0871.42007MaRDI QIDQ3127295

Peter Eliaš

Publication date: 8 April 1997

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

zbMATH Keywords

thin setscombinatorial structureabsolute convergence of trigonometric series

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) Other combinatorial set theory (03E05)

Related Items (8)

Characterized subgroups of the circle group ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a new class of trigonometric thin sets extending Arbault sets ⋮ Statistically characterized subgroups of the circle. II: Continued fractions ⋮ Some further remarks on characterized subgroups generated by modular simple density ⋮ Statistically characterized subgroups of the circle ⋮ A hierarchy of thin sets related to the boundedness of trigonometric series

Cites Work

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• Antistable classes of thin sets in harmonic analysis
• Thin sets of harmonic analysis and infinite combinatorics
• The absolute convergence of trigonometrical series
• Combinatorial aspects of measure and category
• Some Properties of Measure and Category
• Sur l'ensemble de convergence absolue d'une série trigonométrique

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