Abstract
Let G be a finite or infinite compact Abelian group with normed Haar measure m, let C(G) be the space of all complex-valued continuous functions on G and let G be the set of all finite-dimensional, irreducible, unitary representations of G. So all elements of G are one-dimensional, multiplicative characters of G. We consider finite Kc G, their linear hull (K) c C(G), and the Fourier projector FK: C(G) + (K);
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