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math.CV2025
Models of holomorphic functions on the symmetrized skew bidisc
Connor Evans, Zinaida A. Lykova, N. J. Young
The purpose of this paper is to develop the theory of holomorphic functions with modulus bounded by on the symmetrized skew bidisc \[ \mathbb{G}_{r} \stackrel{\rm def}{=} \Big\…
math.CV2025
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…
math.CV2025
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 \[R_δ\stackrel{\rm def}{=} \{z \in \mathbb{C}: δ<|z|<1\},\]…