The Beurling density of the spectrum of self-similar measure generated by Hadamard triple

Zong-Sheng Liu, Xiao-Yu Yan

Let $D\subset \mathbb{Z}$ with cardinality $q\ge 2$, and let $b\in \mathbb{Z}$ with $q<b$, and let $\mu :={\mu }_{b,D}$ be the associated self-similar measure. It is well known that if there exists…