On the commutativity of a certain class of Toeplitz operators

Hashem Alsabi, Issam Louhichi

In this paper we prove that if the polar decomposition of a symbol $f$ is truncated above, i.e., $f(r{e}^{i\theta })={\sum }_{k=-\infty }^N{e}^{ik\theta }{f}_k(r)$ where the $f_k$'s are radial functi…