Sharp Fourier decay estimates for measures supported on the well-approximable numbers

Autor:	Fraser, Robert, Nguyen, Thanh
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs 42A99
Druh dokumentu:	Working Paper
Popis:	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. Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.02854 Zobrazit plný text záznamu View this record from Arxiv