Asymptotics of block Toeplitz determinants with piecewise continuous symbols

E. Basor, T. Ehrhardt, J. A. Virtanen

We determine the asymptotics of the block Toeplitz determinants $\det T_n(\varphi )$ as $n\to \infty$ for $N\times N$ matrix-valued piecewise continuous functions $\varphi$ with a finitely many…