A class of spectral measures with $m$-alternate contraction ratios in $\mathbb{R}$

Jing-cheng Liu, Jia-jie Wang

For a Borel probability measure $\mu$ on ${\mathbb{R}}^n$, it is called a spectral measure if the Hilbert space $L^2(\mu )$ admits an orthogonal basis of exponential functions. In thi…