Fourier-Stieltjes coefficients and asymptotic distribution modulo 1

DOI10.2307/1971372zbMath0583.43006OpenAlexW2325543377MaRDI QIDQ1070160

Russell Lyons

Publication date: 1985

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971372

zbMATH Keywords

asymptotic distributionlocally compact abelian groupBorel measures on unit circle

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) General theory of distribution modulo (1) (11K06)

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Averaged wave operators and complex-symmetric operators ⋮ Rajchman measures on compact groups ⋮ Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences ⋮ Descriptive set theory and harmonic analysis ⋮ Szegő's theorem and its probabilistic descendants ⋮ Mixing and asymptotic distribution modulo 1 ⋮ Characterization of measures in the group \(C^*\)-algebra of a locally compact group ⋮ Descriptive set Theory of Families of Small Sets ⋮ Reducing subspaces ⋮ On the Structure of Sets of Uniqueness ⋮ Uniqueness of non-harmonic series under a weaker growth condition ⋮ ASYMPTOTIC TIME DECAY IN QUANTUM PHYSICS: A SELECTIVE REVIEW AND SOME NEW RESULTS ⋮ On the mixing property for a class of states of relativistic quantum fields ⋮ The measure of non-normal sets

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