3 papers
math.FA2025
Spectrality and non-spectrality of a class of Moran measures with three-element digits
Xiao-Yu Yan, Wen-Hui Ai
A Borel probability measure \( μ\) with compact support on \( \mathbb{R}^n \) is called spectral measure if there exists a discrete set \( Î\subset \mathbb{R}^n \) such that \( E…
math.FA2025
On the Spectral Properties of a Class of Planar Sierpinski Self-Affine Measures
Jia-Long Chen, Wen-Hui Ai
We investigate the spectral properties of a class of Sierpinski-type self-affine measures defined by \[ μ_{M,D}(\cdot) = p^{-1} \sum_{d \in D} μ_{M,D}(M(\cdot) - d), \] where \(…
math.FA2024
The spectral eigenvalues of a class of product-form self-similar spectral measure
Yan Xiao-yu, Ai Wen-hui
Let μ_{M,D} be the self-similar measure generated by the positive integer M=RN^q and the product-form digit set D=\{0,1,\dots,N-1\}\oplus N^{p_1}\{0,1,\dots,N-1\}\oplus \cdots \op…