Relative Szegő asymptotics for Toeplitz determinants

Maurice Duits, Rostyslav Kozhan

We study the asymptotic behavior, as $n\to \infty$, of ratios of Toeplitz determinants $D_n(e^{h}d\mu )/D_n(d\mu )$ defined by a measure $\mu$ on the unit circle and a sufficiently smooth fu…