1. Elementary results -- 2. The commutation's theorem -- 3. The Figa-Talamanca Herz algebra -- 4. The dual of A [subscript p] (G) -- 5. CV [subscript p] (G) as a module on A [subscript p (G) -- 6. The support of a convolution operator -- 7. Convection operators supported by subgroups -- 8. CV [subscript p] (G) as a subspace of CV₂(G).