Connor Evans

collaborators

4 papers

math.FA2026

Linear completeness of trajectories in Sobolev spaces and the symmetrised polydisk

Lyonell Boulton, Connor Evans

We establish a framework to determine the linear completeness of families of non-linear trajectories in Hilbert spaces, which relies on an infinite analytic block Toeplitz operator…

math.CV2026

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 $1$ on the symmetrized skew bidisc \[ \mathbb{G}_{r} \stackrel{\rm def}{=} \Big\…

math.FA2025

Hilbert space models and Blaschke frames

Connor Evans

For a finite Blaschke product $B$ and for an isometry $V$ on an infinite-dimensional separable complex Hilbert space $H$ we study a sequence $(b_{m})_{m = 1}^{\infty}$ of vecto…

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 $I ¨ $ in the Schur-Agler class of the polydisc. This generalization is well adapted to the investig…