Trigonometric series and self-similar sets

Jialun Li, Tuomas Sahlsten

Let $F$ be a self-similar set on $\mathbb{R}$ associated to contractions $f_j(x)=r_{j}x+b_j$, $j\in \mathcal{A}$, for some finite $\mathcal{A}$, such that $F$ is not a singleto…