The amalgam space L(p,q)π$\begin{array}{} L^{\pi}_{(p,q)} \end{array}$(G) on IN-groups

LetGbe an IN-group and 0 <p,q< ∞. In this paper, we determine necessary and sufficient conditions for the existence of the convolution of functions, in the amalgam space$\begin{array}{} L^{\pi}_{(p,q)} \end{array}$(G).