Acta mathematica scientia,Series B ›› 1994, Vol. 14 ›› Issue (2): 130-138.
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Yu Shumo
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Abstract: Let G be a locally compact Abelian group, B a homogeneous Banach algebra without the order on G.LB1 at 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 LL1(G)1 and the second F. and M. Riesz Theorem for operators in LA2(G)1 hold.
Yu Shumo. AN HARMONIC ANALYSIS FOR OPERATORS IN THE CASE OF A LOCALLY COMPACT ABELIAN GROUP: F.AND M.RIESZ THEOREMS[J].Acta mathematica scientia,Series B, 1994, 14(2): 130-138.
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