Spectrality of a class of Cantor-Moran measures (Q1740618)

Suppose that $\mathcal{P} = \{p_n\}_{n=1}^\infty$ is a sequence of integers with $p_n > 1$. Let $\mathcal{D} = \{D_n\}_{n=1}^\infty$ be a sequence of sets $D_n\subset \mathbb{N}$. The author shows that if the elements of $\mathcal P$ and $\mathcal D$ satisfy three number-theoretic conditions then the associated Cantor-Moran measure $\mu_{\mathcal{P},\mathcal{D}}$ of the pair $(\mathcal{P},\mathcal{D})$ is a spectral measure.