In Ref. [1] we showed that it is possible to extend analitically and with t
he use of tempered ultradistributions, the pseudonorm defined by T. Berggre
n for Gamow states. In that reference we define this pseudonorm for all sta
tes determined by the zeros of the Jost function for any short range potent
ial. However, the proof is not completely general due to the fact that the
statement h(l)(0, r) = C phi(l)(0, r) is not true in all cases. In this add
endum we give a new proof, general and independent of that statement.