Li-Xiang An

activity

20192026

most citedArbitrarily sparse spectra for self-affine spectral measures

1 citations · 2 across the 3 of their papers we have counts for

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math.CA2026

Characterization on spectra of self-similar measures and the dual spectral set conjecture

Li-Xiang An, Yan-Song Fu, Ming-Xuan Jiang

A discrete set $Λ$ is called a {\it spectrum} of a Borel probability measure $μ$ if the exponential functions ${e^{2 π i ⟨ λ, x ⟩} : λ \in Λ}$ form an orthonormal basis for $…

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.CA2019

On Spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem

Li-Xiang An, Xiaoye Fu, Chun-Kit Lai

In this paper, we show that if we have a sequence of Hadamard triples ${(N_{n}, B_{n}, L_{n})}$ with $B_{n} \subset {0, 1, .., N_{n} - 1}$ for $n = 1, 2, ...$ , except an extreme case, then the assoc…