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math.CV2024★ 1 cited
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…
math.CV2017★ 14 cited
Derivatives of rational inner functions: geometry of singularities and integrability at the boundary
Kelly Bickel, James Eldred Pascoe, Alan Sola
We analyze the singularities of rational inner functions on the unit bidisk and study both when these functions belong to Dirichlet-type spaces and when their partial derivatives b…