38 citations · 120 across the 42 of their papers we have counts for
45 papers
Mathematical Koans and Cartan Convexity: -Convex Hulls and Butterfly Realizations
J. E. Pascoe
In homage to Hofstadter, we call a compact, citable specification of definitions, theorem, proof mechanism, and examples a mathematical koan when a full paper can be reconstructed…
Automorphic Nelson Dilations for Contractions and Invariant Subspace Tracking
Kelly Bickel, J. E. Pascoe, Ryan Tully-Doyle
Given an strictly contractive matrix , an (automorphic) Nelson dilation of is a certain type of analytic matrix-valued function on the unit disk w…
Germination phenomena
J. E. Pascoe
Many theorems in complex analysis propagate analyticity, such as the Forelli theorem, edge-of-the-wedge theorem and so on. We give a germination theorem which allows for general an…
Induced Stinespring factorization and the Wittstock support theorem
J. E. Pascoe, Ryan Tully-Doyle
Given a pair of self-adjoint-preserving completely bounded maps on the same -algebra, say that if the kernel of is a subset of the kernel of and $ψ\circ φ^{-…
Geometric Dilations and Operator Annuli
Scott McCullough, James E. Pascoe
Fix 1<R. The dilation theory for the quantum annulus, consisting of those invertible Hilbert space operators T such that the norm of T and its inverse are both at most R is determi…
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…