11 citations · 16 across the 7 of their papers we have counts for
9 papers
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…
Scalar spectral measures associated with an Operator-Fractal
Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
We examine the operator defined on where is the 1/4 Cantor measure. The operator scales the elements of the canonical exponential spect…
Scaling by 5 on a 1/4-Cantor Measure
Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
Each Cantor measure (μ) with scaling factor 1/(2n) has at least one associated orthonormal basis of exponential functions (ONB) for L^2(μ). In the particular case where the scaling…
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…
Iterated function systems, moments, and transformations of infinite matrices
Palle Jorgensen, Keri Kornelson, Karen Shuman
We study the moments of equilibrium measures for iterated function systems (IFSs) and draw connections to operator theory. Our main object of study is the infinite matrix which enc…