Sharp Fourier decay estimates for measures supported on the well-approximable numbers
Classical Analysis and ODEs
2024-09-05 v1
Abstract
We construct a measure on the well-approximable numbers whose Fourier transform decays at a nearly optimal rate. This gives a logarithmic improvement on a previous construction of Kaufman.
Cite
@article{arxiv.2409.02854,
title = {Sharp Fourier decay estimates for measures supported on the well-approximable numbers},
author = {Robert Fraser and Thanh Nguyen},
journal= {arXiv preprint arXiv:2409.02854},
year = {2024}
}
Comments
32 pages