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math-ph2008★ 1 cited
The Hilbert Transform of a Measure
Alexei Poltoratski, Barry Simon, Maxim Zinchenko
Let $\fre$ be a homogeneous subset of in the sense of Carleson. Let be a finite positive measure on and its Hilbert transform. We prove that if $\lim_{t\…
math-ph2008
Trace Formulas and a Borg-type Theorem for CMV Operators with Matrix-valued Coefficients
Maxim Zinchenko
We prove a general Borg-type inverse spectral result for a reflectionless unitary CMV operator (CMV for Cantero, Moral, and Velázquez) associated with matrix-valued Verblunsky coef…