Xinggang He

activity

20132025

most citedClassification of spectral self-similar measures with four-digit elements

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.CA2025

On a distinctive property of Fourier bases associated with $N$ - Bernoulli Convolutions

Zi-Chao Chi, Xing-Gang He, Zhi-Yi Wu

A distinctive problem of harmonic analysis on $R$ with respect to a Borel probability measure $μ$ is identifying all $t \in R$ such that both \[\left\{e^{-2πiλx}: λ\inΛ\right\}\qua…

math.CA2022★ 1 cited

Classification of spectral self-similar measures with four-digit elements

Li-Xiang An, Xinggang He, Chun-Kit Lai

Let $μ$ be a self-similar measure generated by iterated function system of four maps of equal contraction ratio $0 < ρ < 1$ . We study when $μ$ is a spectral measure which means that it…

math.FA2013

On the range of $\sum_{n = 1}^{\infty} \pm c_{n}$

Xinggang He, Chuntai Liu

Let ${c_{n}}_{n = 1}^{\infty}$ be a sequence of complex numbers. In this paper we answer when the range of $\sum_{n = 1}^{\infty} \pm c_{n}$ is dense or equal to the complex plane. Some examp…

math.FA2013

Spectrality of Self-Similar Tiles

Xiaoye Fu, Xinggang He, Ka-Sing Lau

We call a set $K \subset R^{s}$ with positive Lebesgue measure a {\it spectral set} if $L^{2} (K)$ admits an exponential orthonormal basis. It was conjectured that $K$ is a sp…

On a distinctive property of Fourier bases associated with N- Bernoulli Convolutions

Classification of spectral self-similar measures with four-digit elements

On the range of ∑n=1∞​±cn​

Spectrality of Self-Similar Tiles

On a distinctive property of Fourier bases associated with $N$ - Bernoulli Convolutions

On the range of $\sum_{n = 1}^{\infty} \pm c_{n}$