Reiter's condition (P2) and hypergroup representations

Let K be a hypergroup with Haar measure. We relate Reiter's condition $(P_2)$ to positive definite measures and associated representations, induced representations from a subgroup of K and convolution operators on $L_2(K)$. To cite this article: L. Pavel, C. R. Acad. Sci. Paris, Ser. I 341 (2005).