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

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2 papers · 1 filter

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 the range of ∑n=1∞​±cn​

Spectrality of Self-Similar Tiles

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