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

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