Characterizations of measures whose Fourier-Stieltjes transforms vanish at infinity

DOI10.1090/S0273-0979-1984-15198-XzbMath0513.43006MaRDI QIDQ3658509

Russell Lyons

Publication date: 1984

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

zbMATH Keywords

asymptotic distributionuniform distributionsets of uniquenessHelson setmeasure algebrasRiesz productsinfinite convolutionsWeyl sets

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46)

Related Items

The abstract inverse scattering problem and the instability of completeness of orthogonal systems ⋮ A new type of sets of uniqueness ⋮ Szegő's theorem and its probabilistic descendants ⋮ On the Structure of Sets of Uniqueness ⋮ Ordinal Rankings on Measures Annihilating Thin Sets ⋮ Wiener's theorem, the Radon-Nikodym theorem, and \(M_ 0({\mathbb{T}})\)

Cites Work

• A Diophantine problem on groups. IV
• Sur les mauvaises répartitions modulo 1
• Distribution modulo 1 and sets of uniqueness
• Unnamed Item