Interpolation and Sidon sets for compact groups

DOI10.1007/978-1-4614-5392-5zbMath1267.43001OpenAlexW571357342MaRDI QIDQ451981

Colin C. Graham, Kathryn E. Hare

Publication date: 25 September 2012

Published in: CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-5392-5

zbMATH Keywords

Sidon setKronecker set\(I_0\)-setBohr cluster pointsHadamard setinterpolation setquasi-independent set

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Lacunary series of trigonometric and other functions; Riesz products (42A55) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis (43-02)

Related Items (19)

Interpolation sets and nilsequences ⋮ A dichotomy property for locally compact groups ⋮ Algebraic structure of semigroup compactifications: Pym's and Veech's theorems and strongly prime points ⋮ Entropic uncertainty relations under localizations on discrete quantum groups ⋮ Sidonicity and variants of Kaczmarz's problem ⋮ Variants of the inequalities of Paley and Zygmund ⋮ Special cases and equivalent forms of Katznelson's problem on recurrence ⋮ On extension to Fourier transforms ⋮ Spectral Gap Properties of the Unitary Groups: Around Rider’s Results on Non-commutative Sidon Sets ⋮ Sampling almost periodic and related functions ⋮ Completely Sidon sets in \(C^*\)-algebras ⋮ Unnamed Item ⋮ Interpolation sets in spaces of continuous metric-valued functions ⋮ Interpolation sets and the size of quotients of function spaces on a locally compact group ⋮ Sublacunary sets and interpolation sets for nilsequences ⋮ Sidon Sets are Proportionally Sidon with Small Sidon Constants ⋮ Kronecker Constants of Arithmetic Progressions ⋮ Riesz bases of exponentials and the Bohr topology ⋮ A Non-abelian, Non-Sidon, Completely Bounded Set

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