16 citations · 31 across the 12 of their papers we have counts for
6 papers · 1 filter
On the Eigen-Falconer theorem in
Wenxia Li, Zhiqiang Wang, Jiayi Xu
In this paper, we study the analogous Erdős similarity conjecture in higher dimensions and generalize the Eigen-Falconer theorem. We show that if $A=\{\boldsymbol{x}_n\}_{n=1}^\inf…
Fractal Sumset Properties
Derong Kong, Zhiqiang Wang
In this paper we introduce two notions of fractal sumset properties. A compact set is said to have the Hausdorff sumset property (HSP) if for any $\ell\in\ma…
The Spectrality of Infinite Convolutions in
Wenxia Li, Zhiqiang Wang
In this paper, we study the spectrality of infinite convolutions in , where the spectrality means the corresponding square integrable function space admits a family o…
Spectrality of Infinite Convolutions and Random Convolutions
Wenxia Li, Jun Jie Miao, Zhiqiang Wang
In this paper, we explore spectral measures whose square integrable spaces admit a family of exponential functions as an orthonormal basis.Our approach involves utilizing the integ…
Weak Convergence and Spectrality of Infinite Convolutions
Wenxia Li, Jun Jie Miao, Zhiqiang Wang
Let be a sequence of finite subsets of satisfying that for all integers . In this paper, we first give a sufficient a…
Spectrality of random convolutions generated by finitely many Hadamard triples
Wenxia Li, Jun Jie Miao, Zhiqiang Wang
Let be finitely many Hadamard triples in . Given a sequence of positive integers and $ω=(ω_k)_{k=1}^\infty \…