Decay rate of Fourier transforms of some self-similar measures

DOI10.1016/S0252-9602(17)30094-2zbMath1399.42021OpenAlexW2756842687MaRDI QIDQ1752111

Xiang Gao, Ji-Hua Ma

Publication date: 25 May 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30094-2

zbMATH Keywords

normal numbersdecay rateself-similar measures

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Small fractional parts of polynomials and generalizations (11J54) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Hausdorff and packing measures (28A78)

Related Items (4)

Fourier decay of self-similar measures and self-similar sets of uniqueness ⋮ Self-similar sets and measures on the line ⋮ On self-similar spectral measures ⋮ On the Fourier transform of coin-tossing type measures

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