Transfer-function realization for multipliers of the Arveson space
| dc.creator | Ball, Joseph A. | |
| dc.creator | Bolotnikov, Vladimir | |
| dc.creator | Fang, Quanlei | |
| dc.date | 2006-10-20 | |
| dc.date.accessioned | 2026-07-07T07:29:17Z | |
| dc.date.available | 2026-07-07T07:29:17Z | |
| dc.description | An interesting and recently much studied generalization of the classical Schur class is the class of contractive operator-valued multipliers for the reproducing kernel Hilbert space ${\mathcal H}(k_{d})$ on the unit ball ${\mathbb B}^{d} \subset {\mathbb C}^{d}$, where $k_{d}$ is the positive kernel $k_{d}(λ, ζ) = 1/(1 - < λ, ζ>)$ on ${\mathbb B}^{d}$. We study this space from the point of view of realization theory and functional models of de Branges-Rovnyak type. We highlight features which depart from the classical univariate case: coisometric realizations have only partial uniqueness properties, the nonuniqueness can be described explicitly, and this description assumes a particularly concrete form in the functional-model context. | |
| dc.identifier | https://arxiv.org/abs/math/0610637 | |
| dc.identifier | http://arxiv.org/abs/math/0610637 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118045 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 47A57 | |
| dc.title | Transfer-function realization for multipliers of the Arveson space | |
| dc.type | text |