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math.OA2022★ 2 cited
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…
math.OA2022
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…