34 citations · 105 across the 45 of their papers we have counts for
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Spectral measures generated by arbitrary and random convolutions
Dorin Ervin Dutkay, Chun-Kit Lai
We study spectral measures generated by infinite convolution products of discrete measures generated by Hadamard triples, and we present sufficient conditions for the measures to b…
Non-spectral fractal measures with Fourier frames
Chun-Kit Lai, Yang Wang
We generalize the compatible tower condition given by Strichartz to the almost-Parseval-frame tower and show that non-trivial examples of almost-Parseval-frame tower exist. By doin…
Hadamard triples generate self-affine spectral measures
Dorin Ervin Dutkay, Chun-Kit Lai, John Haussermann
Let be an expanding matrix with integer entries and let be finite integer digit sets so that form a Hadamard triple on ${\br}^d$. We prove that the associated s…
Self-affine spectral measures and frame spectral measures on
Dorin Ervin Dutkay, Chun-Kit Lai
We study Fourier bases on invariant measures generated by affine iterated function systems in with integer coefficients. We show that, for simple digit sets, these…