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math.SP2019★ 1 cited
Szegő's Theorem for Canonical Systems: the Arov Gauge and a Sum Rule
David Damanik, Benjamin Eichinger, Peter Yuditskii
We consider canonical systems and investigate the Szegő class, which is defined via the finiteness of the associated entropy functional. Noting that the canonical system may be stu…
math.SP2019
Finite-gap CMV matrices: Periodic coordinates and a Magic Formula
Jacob S. Christiansen, Benjamin Eichinger, Tom VandenBoom
We prove a bijective unitary correspondence between 1) the isospectral torus of almost-periodic, absolutely continuous CMV matrices having fixed finite-gap spectrum and 2) special…