Chun-Kit Lai

activity

20112026

most citedSome reductions of the spectral set conjecture to integers

34 citations · 105 across the 45 of their papers we have counts for

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Showing 2011Show all

3 papers · 1 filter

math.CO2011★ 1 cited

Spectral structure of digit sets of self-similar tiles on $B bb R^{1}$

Chun-Kit Lai, Ka-Sing Lau, Hui Rao

We study the structure of the digit sets $D$ for the integral self-similar tiles $T (b, D)$ (we call such $D$ a {\it tile digit set} with respect to…

math.FA2011★ 22 cited

Exponential spectra in $L^{2} (μ)$

Xing-Gang He, Chun-Kit Lai, Ka-Sing Lau

Let $μ$ be a Borel probability measure with compact support. We consider exponential type orthonormal bases, Riesz bases and frames in $L^{2} (μ)$ . We show that if $L^{2} (μ)$ admits an…

math.FA2011★ 2 cited

On Fourier frame of absolutely continuous measures

Chun-kit Lai

Let $μ$ be a compactly supported absolutely continuous probability measure on $R^{n}$ , we show that $μ$ admits Fourier frames if and only if its Radon-Nikodym derivative is up…

Spectral structure of digit sets of self-similar tiles on BbbR1

Exponential spectra in L2(μ)

On Fourier frame of absolutely continuous measures

Spectral structure of digit sets of self-similar tiles on $B bb R^{1}$

Exponential spectra in $L^{2} (μ)$