11 citations · 18 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
Ellipsoidal tight frames and projection decompositions of operators
Ken Dykema, Dan Freeman, Keri Kornelson +3
We prove the existence of tight frames whose elements lie on an arbitrary ellipsoidal surface within a real or complex separable Hilbert space H, and we analyze the set of attainab…