42nd Annual Iranian Mathematics Conference , 2011-09-05

Title : ( CONVOLUTION ON SEMIDIRECT PRODUCT GROUPS )

Authors: Rajab Ali Kamyabi Gol , Arash Ghaani Farashahi ,

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Abstract

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. 1.

Keywords

, LSemidirect product, left ¿-convolution, right ¿-convolution, ¿ - convolution