Adjoints of slant Toeplitz operators

In this paper, we will use the Birkhoff's ergodic theorem to do some finer analysis on the spectral properties of slant Toeplitz operators. For example, we will show that if is an invertibleL function on the unit circle, then almost every point in (A^*) is not an eigenvalue ofA^*. More specifically, we will show that the point spectrum ofA^* is contained in a circle with positive radius.