Sidonicity and variants of Kaczmarz's problem

DOI10.5802/aif.3111zbMath1388.43008arXiv1504.05290OpenAlexW2962687512MaRDI QIDQ1687896

Mark Lewko, Jean Bourgain

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05290

zbMATH Keywords

Fourier seriesorthogonal systemSidon setlacunary functions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46)

Related Items (5)

A note on Sidon sets in bounded orthonormal systems ⋮ Variants of the inequalities of Paley and Zygmund ⋮ On comparing systems of random variables with the Rademacher sequence ⋮ Spectral Gap Properties of the Unitary Groups: Around Rider’s Results on Non-commutative Sidon Sets ⋮ Completely Sidon sets in \(C^*\)-algebras

Cites Work

• Interpolation and Sidon sets for compact groups
• On the boundedness of Bernoulli processes
• Regularity of Gaussian processes
• Sidon sets and Riesz products
• Randomly continuous functions and Sidon sets
• On uniformly bounded orthonormal Sidon systems
• Majorizing measures without measures
• Orthonormal systems in linear spans
• Sign-Embeddings of l n 1
• Some Theorems on Fourier Coefficients
• Six Standard Deviations Suffice
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
• Upper and Lower Bounds for Stochastic Processes
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