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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…
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…