Karen L. Shuman

activity

20072013

most citedHarmonic analysis of iterated function systems with overlap

11 citations · 16 across the 7 of their papers we have counts for

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math.SP2013

Additive spectra of the 1/4 Cantor measure

Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman

In this paper, we add to the characterization of the Fourier spectra for Bernoulli convolution measures. These measures are supported on Cantor subsets of the line. We prove that p…

math.SP2012

Scalar spectral measures associated with an Operator-Fractal

Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman

We examine the operator $U_{5}$ defined on $L^{2} (μ_{\frac{1}{4}})$ where $μ_{\frac{1}{4}}$ is the 1/4 Cantor measure. The operator $U_{5}$ scales the elements of the canonical exponential spect…