On the eigenvalues of Toeplitz matrices with two off-diagonals

Sven-Erik Ekström, David Meadon

Consider the Toeplitz matrix $T_n(f)$ generated by the symbol $f(\theta )={\hat{f}}_r{e}^{\mathbf{i}r\theta }+{\hat{f}}_0+{\hat{f}}_{-s}{e}^{-\mathbf{i}s\theta }$, where $\hat{f}_r, \hat{f}_0, \hat{f}_{-s}…