Jing-Cheng Liu

collaborators

4 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 $0 < I ¨ < 1$ be a real number and let $D$ be the direct sum o…

math.FA2025

A class of spectral measures with $m$ -alternate contraction ratios in $R$

Jing-cheng Liu, Jia-jie Wang

For a Borel probability measure $I^¼$ on $R^{n}$ , it is called a spectral measure if the Hilbert space $L^{2} (I^¼)$ admits an orthogonal basis of exponential functions. In t…

math.FA2025

Spectrality of a class of moran measures on $R^{2}$

Jing-Cheng Liu, Qiao-Qin Liu, Jun Jason Luo +1

We investigate spectral properties of planar Moran measures $I^¼_{{M_{n}}, {D_{n}}}$ generated by sequences of expanding matrices ${M_{n}} \subset G L (2, Z)$ and digit sets $\{…

math.FA2025

Spectrality of Moran-type measures with staggered contraction ratios

Jun Jason Luo, Lin Mao, Jing-Cheng Liu

Consider a Moran-type iterated function system (IFS) $ \{Ï_{k,d}\}_{d\in D_{2p_k}, k\geq 1} $, where each contraction map is defined as \[ Ï_{k,d}(x) = (-1)^d b_k^{-1}(x + d),…

Spectrality of product-form self-similar measures and tiles

A class of spectral measures with m-alternate contraction ratios in R

Spectrality of a class of moran measures on R2

Spectrality of Moran-type measures with staggered contraction ratios

A class of spectral measures with $m$ -alternate contraction ratios in $R$

Spectrality of a class of moran measures on $R^{2}$