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A generalized Fourier transformation for <i>L</i><sub>1</sub>(<i>G</i>)-Modules
Abstract Let G be a compact abelian group with dual Ĝ and let K be a Banach L 1 ( G )-module. We introduce the notion of character convolution transformation of K which reduces to ordinary Fourier or Fourier-Stieltjes transformation when K is one of the spaces L p ( …