In this work, cyclic Blaschke products for composition operators induced by disc automorphisms are studied. In particular, we obtain interpolating Blaschke products that are cyclic for nonelliptic automorphisms and we obtain a new characterization of Blaschke products that are not finite products of interpolating Blaschke products.
"Cyclic Blaschke products for composition operators." Rev. Mat. Iberoamericana 25 (2) 447 - 470, June, 2009.