40 citations · 157 across the 48 of their papers we have counts for
60 papers
Boundary behavior of functions in the Schur-Agler class of the polydisc
Jim Agler, Connor Evans, Zinaida Lykova +1
We describe a generalization of the notion of a Hilbert space model of a function in the Schur-Agler class of the polydisc. This generalization is well adapted to the investiga…
Function theory on the annulus in the dp-norm
Jim Agler, Zinaida Lykova, N. J. Young
In this paper we shall use realization theory to prove new results about a class of holomorphic functions on an annulus \[R_δ\stackrel{\rm def}{=} \{z \in \mathbb{C}: δ<|z|<1\},\]…
Function theory in the bfd-norm on an elliptical region
Jim Agler, Zinaida Lykova, Nicholas Young
Let be the open region in the complex plane bounded by an ellipse. The B. and F. Delyon norm on the space of holomorphic functions…
On the Operators with Numerical Range in an Ellipse
Jim Agler, Zinaida A. Lykova, N. J. Young
We give new necessary and sufficient conditions for the numerical range of an operator to be a subset of the closed elliptical set $K_δ\subs…
Asymptotic Muntz-Szasz Theorems
Jim Agler, John McCarthy
We define a monomial space to be a subspace of $\ltwo$ that can be approximated by spaces that are spanned by monomial functions. We describe the structure of monomial spaces.
Beurling's theorem for the Hardy operator on
Jim Agler, John E. McCarthy
We prove that the invariant subspaces of the Hardy operator on are the spaces that are limits of sequences of finite dimensional spaces spanned by monomial functions.