Some new thin sets of integers in harmonic analysis

DOI10.1007/BF02786646zbMath1018.43004arXiv0912.4214OpenAlexW1980923841MaRDI QIDQ698316

Daniel Li, Luis Rodríguez-Piazza, Hervé Queffélec

Publication date: 9 September 2003

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

Full work available at URL: https://arxiv.org/abs/0912.4214

zbMATH Keywords

Sidon setsFourier seriesBohr groupthin sets of integers

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46)

Related Items (9)

𝑝-Rider sets are 𝑞-Sidon sets ⋮ Sampling almost periodic and related functions ⋮ Unnamed Item ⋮ Recurrence properties of sequences of integers ⋮ The union of a Riesz set and a Lust-Piquard set is a Riesz set ⋮ On some random thin sets of integers ⋮ Rosenthal sets and the relative Radon-Nikodým property ⋮ Rigidity sequences, Kazhdan sets and group topologies on the integers ⋮ Thin sets of integers in harmonic analysis and \(p\)-stable random Fourier series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorial dimension and random sets
• Sidon sets and Riesz products
• On the maximal ergodic theorem for certain subsets of the integers
• Bounded orthogonal systems and the \(\Lambda\) (p)-set problem
• Analytic and arithmetic properties of thin sets
• Sidon partitions and p-Sidon sets
• Une remarque sur les ensembles de Helson
• Randomly continuous functions and Sidon sets
• Fractional cartesian products of sets
• Random sets of uniform convergence
• Lacunary sets and function spaces with finite cotype
• Two random constructions inside lacunary sets
• \(p\)-Sidon sets
• Propriétés de décomposition pour les ensembles de Sidon
• Bohr local properties of $C_Λ(T)$
• New Inequalities for Polynomials
• Combinatorial Dimension and Certain Norms in Harmonic Analysis
• Absolutely summing operators and translation invariant spaces of functions on compact abelian groups
• On sets of completely uniform convergence
• Produits tensoriels injectifs d'espaces de Sidon
• Sets of uniform convergence
• Theorems on lacunary sets, especially p-Sidon sets
• A remark about Λ(𝑝)-sets and Rosenthal sets
• Measures and lacunary sets
• ON A SPECIAL TRIGONOMETRIC SERIES AND ITS APPLICATIONS
• On divergence of trigonometric Fourier series everywhere
• Two UC-Sets Whose Union is Not a UC-Set
• 𝑝-Rider sets are 𝑞-Sidon sets
• Gap Series on Groups and Spheres
• Some types of lacunary Fourier series
• Sur les polynomes associés aux fonctions modulaires

This page was built for publication: Some new thin sets of integers in harmonic analysis