Abstract
Let G be a locally compact Abelian group, B a homogeneous Banach algebra without the order on G.φB1 denotes the set of all integrable operators with respect to right translation on B(see [1]). Under some convenient conditions we obtain the following results:both the first F. and M. Riesz Theorem for operators in φL11(G) and the second F. and M. Riesz Theorem for operators in φA2(G)1 hold.
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