38 citations · 253 across the 49 of their papers we have counts for
18 papers · 1 filter
A note on composition operators on model spaces
Isabelle Chalendar, Pavel Gumenyuk, John E. McCarthy
Motivated by the study of composition operators on model spaces launched by Mashreghi and Shabankha we consider the following problem: for a given inner function $ϕ\not\in\mathsf{A…
Complete Norm Preserving Extensions of Holomorphic Functions
Jim Agler, Lukasz Kosinski, John E. McCarthy
We show that for every connected analytic subvariety there is a pseudoconvex set such that every bounded matrix-valued holomorphic function on extends isometrically to…
Norm Preserving Extensions of Holomorphic Functions Defined on Varieties in
Jim Agler, Lukasz Kosinski, John McCarthy
If is an analytic set in a pseudoconvex domain , we show there is always a pseudoconvex domain that contains and has the property that every bounded holo…
Non-commutative manifolds, the free square root and symmetric functions in two non-commuting variables
Jim Agler, John E. McCarthy, N. J. Young
The richly developed theory of complex manifolds plays important roles in our understanding of holomorphic functions in several complex variables. It is natural to consider manifol…
The Krzyż Conjecture and an Entropy Conjecture
Jim Agler, John E. McCarthy
We show that if the minimum entropy for a polynomial with roots on the unit circle is attained by polynomials with equally spaced roots, then, under a generic hypothesis about the…
The three point Pick problem on the Bidisk
Jim Agler, John E. McCarthy
We analyze the three point Pick interpolation problem on the bidisk