activity
20062008
most citedSchur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations

19 citations · 24 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC2008

Equivalence of robust stabilization and robust performance via feedback

J. A. Ball, Q. Fang, G. J. Groenewald +1

One approach to robust control for linear plants with structured uncertainty as well as for linear parameter-varying (LPV) plants (where the controller has on-line access to the va…

math.CA2007

Multivariable generalizations of the Schur class: positive kernel characterization and transfer function realization

Joseph A. Ball, Animikh Biswas, Quanlei Fang +1

The operator-valued Schur-class is defined to be the set of holomorphic functions mapping the unit disk into the space of contraction operators between two Hilbert spaces. Ther…

math.CA2006★ 1 cited

Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations

Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang

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…

math.CA2006

Transfer-function realization for multipliers of the Arveson space

Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang

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 spac…

math.CA2006★ 19 cited

Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations

Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang

We introduce and study a Fock-space noncommutative analogue of reproducing kernel Hilbert spaces of de Branges-Rovnyak type. Results include: use of the de Branges-Rovnyak space ${…

math.CA2006★ 4 cited

Multivariable backward-shift-invariant subspaces and observability operators

Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang

It is well known that subspaces of the Hardy space over the unit disk which are invariant under the backward shift occur as the image of an observability operator associated with a…