Random integers and harmonic analysis

DOI10.1007/S11854-008-0040-6zbMath1153.43004OpenAlexW2005226051MaRDI QIDQ948867

Jean-Pierre Kahane, Yitzhak Katznelson

Publication date: 16 October 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0040-6

zbMATH Keywords

Poisson processSidon setrandom setBohr groupdichotomy conjectureset of analyticity

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Lacunary series of trigonometric and other functions; Riesz products (42A55) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (3)

Sets of zero discrete harmonic density ⋮ Uniform distribution of certain sequences of integers in the Bohr group ⋮ Recurrence properties of sequences of integers

Cites Work

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• Random sequences of integers, Sidon sets, density in the Bohr group, and sets of analyticity.
• Bohr Cluster Points of Sidon Sets
• Comparisons of Sidon and $I_0$ sets
• Ensembles de Ryll-Nardzewski et ensembles de Helson

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