3 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.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.FA2025
Hilbert space models and Blaschke frames
Connor Evans
For a finite Blaschke product and for an isometry on an infinite-dimensional separable complex Hilbert space we study a sequence of vecto…