Chun-Kit Lai

activity

20152026

most citedHadamard triples generate self-affine spectral measures

20 citations · 23 across the 11 of their papers we have counts for

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10 papers · 1 filter

math.FA2020

On exponential bases and frames with non-linear phase functions and some applications

Jean-Pierre Gabardo, Chun-Kit Lai, Vignon Oussa

In this paper, we study the spectrality and frame-spectrality of exponential systems of the type $E (Λ, φ) = {e^{2 π iλ \cdot φ (x)} : λ \in Λ}$ where the phase function $φ$ is a Borel me…

math.FA2020★ 1 cited

Arbitrarily sparse spectra for self-affine spectral measures

Li-Xiang An, Chun-Kit Lai

Given an expansive matrix $R \in M_{d} (Z)$ and a finite set of digit $B$ taken from $Z^{d} / R (Z^{d})$ . It was shown previously that if we can find an $L$ suc…

math.FA2020

Spectral properties of some unions of linear spaces

Chun-Kit Lai, Bochen Liu, Hal Prince

We consider \textit{additive spaces}, consisting of two intervals of unit length or two general probability measures on $R^{1}$ , positioned on the axes in $R^{2}$ ,…

math.FA2019

Spectrum is rational in dimension one

Chun-Kit Lai, Yang Wang

A bounded measurable set $Ω \subset R^{d}$ is called a spectral set if it admits some exponential orthonormal basis ${e^{2 π i ⟨ λ, x ⟩} : λ \in Λ}$ for $L^{2} (Ω)$ . In th…

math.FA2018

Existence and exactness of exponential Riesz sequences and frames for fractal measures

Dorin Ervin Dutkay, Shahram Emami, Chun-Kit Lai

We study the construction of exponential frames and Riesz sequences for a class of fractal measures on $R^{d}$ generated by infinite convolution of discrete measures using…

math.FA2017

Translational absolute continuity and Fourier frames on a sum of singular measures

Xiaoye Fu, Chun-Kit Lai

A finite Borel measure $μ$ in $R^{d}$ is called a frame-spectral measure if it admits an exponential frame (or Fourier frame) for $L^{2} (μ)$ . It has been conjectured that a f…