62 citations · 380 across the 28 of their papers we have counts for
33 papers
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…
Boundary local integrability of rational functions in two variables
Greg Knese
Motivated by studying boundary singularities of rational functions in two variables that are analytic on a domain, we investigate local integrability on near …
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…
A simple proof of necessity in the McCullough-Quiggin theorem
Greg Knese
A short and simple proof of necessity in the McCullough-Quiggin characterization of positive semi-definite kernels with the complete Pick property is presented.
Kummert's approach to realization on the bidisk
Greg Knese
We give a simplified exposition of Kummert's approach to proving that every matrix-valued rational inner function in two variables has a minimal unitary transfer function realizati…
An [O III] search for extended emission around AGN with H I mapping: a distant cloud ionized by Mkn 1
Erin Darnell Knese, William C. Keel, Greg Knese +4
Motivated by the discovery of large-scale ionized clouds around AGN host galaxies, and particularly the large fraction of those which are consistent with photoionized gaseous tidal…