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math.CV2026
Stable polynomials and bounded rational functions in the unit ball
Greg Knese, James Eldred Pascoe, Alan Sola
We study polynomials with no zeros on the unit ball in complex Euclidean space with a view toward characterizing when a rational function is bounded on the ball. We give a complete…
math.CV2024
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…