Duality and harmonic analysis on central
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Siegfried Grosser; Richard Mosak; Martin Moskowitz
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Article
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1973
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Elsevier Science
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In [8] a Fourier inversion formula was derived for functions in the linear span [8(Li) n @] of jj(L1) n @, where $J(Li) is the center of L,(G) and @ is the set of continuous positive-definite functions on G. For such functions f the function e I+ &f\*(e) is in Li(G^, dp), and one has (\*I f(x) = SG~