4 citations · 10 across the 18 of their papers we have counts for
5 papers · 1 filter
Averaged mixed Julia-Fatou type theory with applications to spectral foliation
J. E. Pascoe, Ryan Tully-Doyle
Classically, theorems of Fatou and Julia describe the boundary regularity of functions in one complex variable. The former says that a complex analytic function on the disk has non…
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…
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…
The wedge-of-the-edge theorem: edge-of-the-wedge type phenomenon within the common real boundary
J. E. Pascoe
The edge-of-the-wedge theorem in several complex variables gives the analytic continuation of functions defined on the poly upper half plane and the poly lower half plane, the set…
An inductive Julia-Caratheodory theorem for Pick functions in two variables
J. E. Pascoe
We study the asymptotic behavior of Pick functions, analytic functions which take the upper half plane to itself. We show that if a two variable Pick function has real residues…