Abstract
In this paper we extend the concept of coherent pairs of measures from the real line to Jordan arcs and curves. We present a characterization of pairs of coherent measures on the unit circle: it is established that if ( μ 0 , μ 1 ) is a coherent pair of measures on the unit circle, then μ 0 is a semi-classical measure. Moreover, we obtain that the linear functional associated with μ 1 is a specific rational transformation of the linear functional corresponding to μ 0 . Some examples are given.
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