34 citations · 105 across the 45 of their papers we have counts for
5 papers · 1 filter
Spark Level Sparsity and the Tail Minimization
Chun-Kit Lai, Shidong Li, Daniel Mondo
Solving compressed sensing problems relies on the properties of sparse signals. It is commonly assumed that the sparsity s needs to be less than one half of the spark of the sensin…
Hadamard triples generate self-affine spectral measures
Dorin Dutkay, John Haussermann, Chun-Kit Lai
Let be an expanding matrix with integer entries and let be finite integer digit sets so that form a Hadamard triple on ${\br}^d$ in the sense that the matrix $$…
Perfect fractal sets with zero Fourier dimension and arbitrarily long arithmetic progressions
Chun-Kit Lai
By considering a Moran-type construction of fractals on , we show that for any , there exists some Moran fractal set, which is perfect, with Hausdorff dimension…
Beurling densities and frames of exponentials on the union of small balls
Jean-Pierre Gabardo, Chun-Kit Lai
If are finitely many points in , let , where and let de…
Fourier bases and Fourier frames on self-affine measures
Dorin Ervin Dutkay, Chun_Kit Lai, Yang Wang
This paper gives a review of the recent progress in the study of Fourier bases and Fourier frames on self-affine measures. In particular, we emphasize the new matrix analysis appro…