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In a recent work we have proved that if (u 0 u 1) is a δ-coherent pair of linear functionals, then at least one of them must be a classical discrete linear functional under certain conditions. In this paper we present a similar result for Dw -coherent pairs and the description of all δ-coherent pairs. Furthermore, by using a limit process we recover the classification of all coherent pairs of positive definite linear functionals.
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