Wen-Hui Ai

activity

20202026

most citedThe divergence of Mock Fourier series for spectral measures

5 citations · 5 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2026

Spectral structure and eigenmatrices of self-affine measures with $p$ -digits in $R^{n}$

Jia-Long Chen, Wen-Hui Ai

For a prime number $p > 2$ , let $0 \in D \subset Z^{n}$ be a $p$ -element digit set satisfying $ \mathcal{Z}(\widehatδ_D) =\cup_{j=1}^{p-1}(\frac{j}{p}\bm{a}+\mathbb{Z}^…

math.FA2022★ 5 cited

The divergence of Mock Fourier series for spectral measures

Wu-Yi Pan, Wen-Hui Ai

In this paper, we study divergence properties of Fourier series on Cantor-type fractal measure, also called Mock Fourier series. We give a sufficient condition under which the Mock…

math.FA2022

Non-spectrality of Moran measures with consecutive digits

Ya-Li Zheng, Wen-Hui Ai

Let $ρ = (\frac{p}{q})^{\frac{1}{r}} < 1$ for some $p, q, r \in N$ with $(p, q) = 1$ and $D_{n} = {0, 1, \cdot \cdot \cdot, N_{n} - 1}$ , where $N_{n}$ is prime for all $n\in\mathb…

math.CV2020

Continuity of capacity of a holomorphic motion

Thomas Ransford, Malik Younsi, Wen-hui Ai

We study the behavior of various set-functions under holomorphic motions. We show that, under such deformations, logarithmic capacity varies continuously, while analytic capacity m…

Spectral structure and eigenmatrices of self-affine measures with p-digits in Rn

The divergence of Mock Fourier series for spectral measures

Non-spectrality of Moran measures with consecutive digits

Continuity of capacity of a holomorphic motion

Spectral structure and eigenmatrices of self-affine measures with $p$ -digits in $R^{n}$