49 citations · 156 across the 29 of their papers we have counts for
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Free versions of the strong Szegő limit theorem
Michael T. Jury, Lodewyk J. van Rensburg, George Roman
The Strong Szegő Limit Theorem is a theorem about the asymptotics of the determinants of large Toeplitz matrices. It can be reformulated as a probabilistic statement about eigenval…
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…
Operators affiliated to the free shift on the free Hardy space
Michael T. Jury, Robert T. W. Martin
The Smirnov class for the classical Hardy space is the set of ratios of bounded analytic functions on the open complex unit disk with outer denominators. This definition extends na…
Column extreme multipliers of the Free Hardy space
Michael T. Jury, Robert T. W. Martin
The full Fock space over can be identified with the free Hardy space, - the unique non-commutative reproducing kernel Hilbert space c…
Non-commutative Clark measures for the free and abelian Toeplitz algebras
Michael T. Jury, Robert T. W. Martin
We construct a non-commutative Aleksandrov-Clark measure for any element in the operator-valued free Schur class, the closed unit ball of the free Toeplitz algebra of vector-valued…