Fourier Transforms of Bounded Bilinear Forms on C＊（S1）×C＊（S2） of Foundation ＊-semigroups S1 and S2  

作　　者：M.LASHKARIZADEH BAMI 

机构地区：[1]Department of Mathematics, University of Isfahan, Isfahan, Iran

出　　处：《Acta Mathematica Sinica,English Series》2008年第3期439-454,共16页数学学报（英文版）

基　　金：the Research Project No. 830104;the Center of Excellence for Mathematics of the University of Isfahan for their financial supports

摘　　要：The author gives a characterization of the Fourier transforms of bounded bilinear forms on C＊（S1）×C＊（S2） of two foundation semigroups S1 and S2 in terms of Jordan ＊-representations, hemimogeneous random fields, and as well as weakly harmonizable random fields of S1 and S2 into Hilbert spaces.The author gives a characterization of the Fourier transforms of bounded bilinear forms on C＊（S1）×C＊（S2） of two foundation semigroups S1 and S2 in terms of Jordan ＊-representations, hemimogeneous random fields, and as well as weakly harmonizable random fields of S1 and S2 into Hilbert spaces.

关 键 词：topological semigroups Banach ＊-algebras REPRESENTATIONS positive-definite functions Fourier transforms bilinear forms 

分 类 号：O152.7[理学—数学]