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math.CV2021
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…
math.CV2018
Level curve portraits of rational inner functions
Kelly Bickel, James Eldred Pascoe, Alan Sola
We analyze the behavior of rational inner functions on the unit bidisk near singularities on the distinguished boundary using level sets. We show that the unimodular…
math.CV2017
Compressions of the Shift on the Bidisk and their Numerical Ranges
Kelly Bickel, Pamela Gorkin
We consider two-variable model spaces associated to rational inner functions on the bidisk, which always possess canonical -invariant subspaces A particul…