11 citations · 16 across the 7 of their papers we have counts for
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An Operator-Fractal
Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
Certain Bernoulli convolution measures (μ) are known to be spectral. Recently, much work has concentrated on determining conditions under which orthonormal Fourier bases (i.e. spec…
Families of spectral sets for Bernoulli convolutions
Palle Jorgensen, Keri Kornelson, Karen Shuman
In this paper, we study the harmonic analysis of Bernoulli measures. We show a variety of orthonormal Fourier bases for the L^2 Hilbert spaces corresponding to certain Bernoulli me…
Orthogonal Exponentials for Bernoulli Iterated Function Systems
Palle Jorgensen, Keri Kornelson, Karen Shuman
We investigate certain spectral properties of the Bernoulli convolution measures on attractor sets arising from iterated function systems on the real line. In particular, we examin…