Generalized Riesz products on the Bohr compactification of \(\mathbb R\)
DOI10.1007/s00041-015-9410-5zbMath1342.42007arXiv1206.0493OpenAlexW272275142MaRDI QIDQ5964230
Publication date: 29 February 2016
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.0493
almost periodic functionsBohr compactificationBourgain's singularity criteriongeneralized Riesz productsKac's central limit theoremKakutani's criterion
Central limit and other weak theorems (60F05) Classical almost periodic functions, mean periodic functions (42A75) Trigonometric and exponential sums (general theory) (11L03) Lacunary series of trigonometric and other functions; Riesz products (42A55) Trigonometric polynomials, inequalities, extremal problems (42A05) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Probabilistic methods for one variable harmonic analysis (42A61)
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