2 citations · 2 across the 2 of their papers we have counts for
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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…
A de Branges-Beurling theorem for the full Fock space
Robert T. W. Martin, Eli Shamovich
We extend the de Branges-Beurling theorem characterizing the shift-invariant spaces boundedly contained in the Hardy space of square-summable power series to the full Fock space ov…
Blaschke-Singular-Outer factorization of free non-commutative functions
Michael T. Jury, Robert T. W. Martin, Eli Shamovich
By classical results of Herglotz and F. Riesz, any bounded analytic function in the complex unit disk has a unique inner-outer factorization. Here, a bounded analytic function is c…