Current Algebras and Pole Dominance Applied to Three-Point Functions

We demonstrate that the "hard-pion" process $A_1\to \rho \pi$ can be correctly calculated by "soft-pion" techniques. The difficulty in earlier treatments by these methods is shown to be due to the fact that dispersing with an inappropriate invariant fixed omits important pole contributions. We criticize the derivation of the Kawarabayashi-Suzuki relationship.