%0 Journal Article %T Adjoints of rationally induced composition operators %A Paul S. Bourdon %A Joel H. Shapiro %J Mathematics %D 2008 %I arXiv %X We give an elementary proof of a formula recently obtained by Hammond, Moorhouse, and Robbins for the adjoint of a rationally induced composition operator on the Hardy space H^2. We discuss some variants and implications of this formula, and use it to provide a sufficient condition for a rationally induced composition operator adjoint to be a compact perturbation of a weighted composition operator. %U http://arxiv.org/abs/0801.1844v2