Spectral structure and eigenmatrices of self-affine measures with $p$-digits in ${\mathbb{R}}^{\mathbf{n}}$

Jia-Long Chen, Wen-Hui Ai

For a prime number $p>2$, let $0\in D\subset {\mathbb{Z}}^n$ be a $p$-element digit set satisfying $ \mathcal{Z}(\widehatδ_D) =\cup_{j=1}^{p-1}(\frac{j}{p}\bm{a}+\mathbb{Z}^…