Abstract
We study the Fourier transforms bμ(ξ) of non-atomic Gibbs measures μ for uniformly expanding maps T of bounded distortions on [0,1] or Cantor sets with strong separation. When T is totally non-linear, then bμ(ξ)→0 at a polynomial rate as |ξ|→∞.
| Original language | English |
|---|---|
| Pages (from-to) | 945-982 |
| Journal | American Journal of Mathematics |
| Volume | 146 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Aug 2024 |
| MoE publication type | A1 Journal article-refereed |