  In a work by Artstein-Avidan and Milman the concept of polarity is
generalized from the class of convex bodies to the larger class of convex
functions. While the only self-polar convex body is the Euclidean ball, it
turns out that there are numerous self-polar convex functions. In this work we
give a complete characterization of all rotationally invariant self-polar
convex functions on R^n.
