3 papers
math.FA2026
Spectrality of product-form self-similar measures and tiles
Jing-Cheng Liu, Jia-Jie Wang, Jia Zheng
This paper studies the Fourier properties of self-similar measures and tiles generated by digit sets of product-form. Let be a real number and let be the direct sum o…
math.FA2025
A class of spectral measures with -alternate contraction ratios in
Jing-cheng Liu, Jia-jie Wang
For a Borel probability measure on , it is called a spectral measure if the Hilbert space admits an orthogonal basis of exponential functions. In t…
math.FA2025
Spectrality of a class of moran measures on
Jing-Cheng Liu, Qiao-Qin Liu, Jun Jason Luo +1
We investigate spectral properties of planar Moran measures generated by sequences of expanding matrices and digit sets $\{…