Fourier decay rate of coin-tossing type measures
Functional Analysis
2018-11-02 v3 Classical Analysis and ODEs
Abstract
The Fourier decay rate of a coin-tossing type measure is investigated. Explicit estimation is given. Our method relies upon a classical result of Hartman and Kershner. As an application, we present a new example of a measure whose Fourier decay rate could be as slowly as we please, and for this measure almost every point is absolutely normal.
Keywords
Cite
@article{arxiv.1804.00865,
title = {Fourier decay rate of coin-tossing type measures},
author = {Xiang Gao and Jihua Ma and Kunkun Song and Yanfang Zhang},
journal= {arXiv preprint arXiv:1804.00865},
year = {2018}
}
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16 pages