21 citations · 85 across the 22 of their papers we have counts for
4 papers · 1 filter
Blaschke Products, Level Sets, and Crouzeix's Conjecture
Kelly Bickel, Pamela Gorkin
We study several problems motivated by Crouzeix's conjecture, which we consider in the special setting of model spaces and compressions of the shift with finite Blaschke products a…
Local theory of stable polynomials and bounded rational functions of several variables
Kelly Bickel, Greg Knese, James Eldred Pascoe +1
We provide detailed local descriptions of stable polynomials in terms of their homogeneous decompositions, Puiseux expansions, and transfer function realizations. We use this theor…
Zero-free regions near a line
Kelly Bickel, J. E. Pascoe, Meredith Sargent
We analyze metrics for how close an entire function of genus one is to being real rooted. These metrics arise from truncated Hankel matrix positivity-type conditions built from pow…
Clark Measures for Rational Inner Functions
Kelly Bickel, Joseph A. Cima, Alan A. Sola
We analyze the fine structure of Clark measures and Clark isometries associated with two-variable rational inner functions on the bidisk. In the degree (n,1) case, we give a comple…