Li-Xiang An

activity

20192026

most citedArbitrarily sparse spectra for self-affine spectral measures

1 citations · 3 across the 5 of their papers we have counts for

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math.CA2026

Translational self-affine tiles in $R^{n}$

Li-Xiang An, Ting-Ting He

Two basic problems in the theory of integral self-affine tiles are to characterize the digit sets that generate translational tiles and to understand whether such tiles admit perio…

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 $…

Translational self-affine tiles in Rn

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

Translational self-affine tiles in $R^{n}$