CONVOLUTION ON SEMIDIRECT PRODUCT GROUPS

Let G = H £¿ K be the semidirect product of locally compact groups H and K, where ¿ : H ! Aut(K) is a continuous homomorphism. In this talk, first we introduce left ¿-convolution, right ¿-convolution and ¿-convolution on L1(G). Then, some properties of these convolutions will be established.