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math.FA2012
Spectral property of Cantor measures with consecutive digits
Xin-Rong Dai, Xing-Gang He, Chun-Kit Lai
We consider equally-weighted Cantor measures arising from iterated function systems of the form , , where . We classify the so…
math.FA2012
Uniformity of measures with Fourier frames
Dorin Ervin Dutkay, Chun-Kit Lai
We examine Fourier frames and, more generally, frame measures for different probability measures. We prove that if a measure has an associated frame measure, then it must have a ce…