On the Fourier transforms of self-similar measures

DOI10.1080/14689367.2015.1078291zbMath1329.28022arXiv1212.1553OpenAlexW2103676531MaRDI QIDQ3462339

Masato Tsujii

Publication date: 5 January 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1553

zbMATH Keywords

Fourier transformlarge deviationself-similar measure

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80)

Related Items (8)

Trigonometric series and self-similar sets ⋮ Self-similar measures: asymptotic bounds for the dimension and Fourier decay of smooth images ⋮ Fourier decay behavior of homogeneous self-similar measures on the complex plane ⋮ Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4--9, 2023 ⋮ On the Fourier transform of coin-tossing type measures ⋮ Pointwise normality and Fourier decay for self-conformal measures ⋮ Fourier decay for self-similar measures ⋮ Self-similar measures and the Rajchman property

Cites Work

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• When does a Bernoulli convolution admit a spectrum?
• Self-Similar Measures and Their Fourier Transforms. II
• On the Smoothness Properties of a Family of Bernoulli Convolutions
• Large deviations

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