Fourier bases of a class of planar self-affine measures

Ming-Liang Chen, Jing-Cheng Liu, Zhi-Yong Wang

Let ${\mu }_{M,D}$ be the planar self-affine measure generated by an expansive integer matrix $M\in M_2(\mathbb{Z})$ and a non-collinear integer digit set $D=\left\{\begin{pmatrix} 0\\0…