3 papers
math.CV2026
On the membership of two-variable Rational Inner Functions in spaces of Dirichlet-type
Athanasios Beslikas, Alan Sola
We study membership of rational inner functions on the bidisk in a scale of Dirichlet spaces considered by Bera, Chavan, and Ghara, and in higher-order variants of t…
math.CV2026
Pairs of Clark Unitary Operators on the Bidisk and their Taylor Joint Spectra
Palak Arora, Kelly Bickel, Constanze Liaw +1
We develop a Clark theory for commuting compressed shift operators on model spaces associated with inner functions on the bidisk, which exhibits both similarities and m…
math.CV2024
Stable polynomials and admissible numerators in product domains
Kelly Bickel, Greg Knese, James Eldred Pascoe +1
Given a polynomial with no zeros in the polydisk, or equivalently the poly-upper half-plane, we study the problem of determining the ideal of polynomials with the property…