Coefficients of Orthogonal Polynomials on the Unit Circle and Higher Order Szego Theorems

Leonid Golinskii, Andrej Zlatos

Let $\mu$ be a non-trivial probability measure on the unit circle $\partial\bbD$, $w$ the density of its absolutely continuous part, ${\alpha }_n$ its Verblunsky coefficients, and ${\Phi }_n$ its…