35 citations · 79 across the 10 of their papers we have counts for
22 papers
Non-commutative rational Clark measures
Michael T. Jury, Robert T. W. Martin, Eli Shamovich
We characterize the non-commutative Aleksandrov--Clark measures and the minimal realization formulas of contractive and, in particular, isometric non-commutative rational multiplie…
A non-commutative F&M Riesz Theorem
Michael T. Jury, Robert T. W. Martin, Edward J. Timko
We extend results on analytic complex measures on the complex unit circle to a non-commutative multivariate setting. Identifying continuous linear functionals on a certain self-adj…
Unbounded multipliers of complete Pick spaces
Michael T. Jury, Robert T. W. Martin
We examine densely defined (but possibly unbounded) multiplication operators in Hilbert function spaces possessing a complete Nevanlinna-Pick (CNP) kernel. For such a densely defin…
Spectral Measures for Derivative Powers via Matrix-Valued Clark Theory
Michael Bush, Constanze Liaw, Robert T. W. Martin
The theory of finite-rank perturbations allows for the determination of spectral information for broad classes of operators using the tools of analytic function theory. In this wor…
Analytic functionals for the non-commutative disc algebra
Raphaël Clouâtre, Robert T. W. Martin, Edward J. Timko
The main objects of study in this paper are those functionals that are analytic in the sense that they annihilate the non-commutative disc algebra. In the classical univariate case…
Non-commutative rational functions in the full Fock space
Michael T. Jury, Robert T. W. Martin, Eli Shamovich
A rational function belongs to the Hardy space, , of square-summable power series if and only if it is bounded in the complex unit disk. Any such rational function is necessar…