Generalized Krein algebras and asymptotics of Toeplitz determinants

Albrecht Böttcher, Alexei Karlovich, Bernd Silbermann

We give a survey on generalized Krein algebras $K_{p,q}^{\alpha ,\beta }$ and their applications to Toeplitz determinants. Our methods originated in a paper by Mark Krein of 1966, where he sh…