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The equivalence of group invariant positive definite functions

The equivalence of group invariant positive definite functions

Let G be a separable locally compact group; p, a positive definite function; M{G), the set of all finite Radon measures; and %= ίae M(G) I B P (α, a) = ί f p(t~1s)a(ds)a(dt) = θ| .Let H P be the Hubert space obtained by completing M{G)I S R P