In this expository article we discuss the theory of iteration for function analytic in the unit disk, and bounded by one in modules. This is a classical subject that started in the eighteen-hundreds and continues today. We will review the historical background, and then conclude with more recent work.
@article{1647,
title = {Iteration of analytic self-maps of the disk: an overview},
journal = {CUBO, A Mathematical Journal},
volume = {6},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/1647}
}
Poggi-Corradini, Pietro i. Iteration of analytic self-maps of the disk: an overview. CUBO, A Mathematical Journal, Tome 6 (2004) . http://gdmltest.u-ga.fr/item/1647/