A. Branquinho, Ana Pilar Foulquié Moreno, Francisco Marcellán Español, M. N. Rebocho
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 (µ0,µ1) is a coherent pair of measures on the unit circle, then µ0 is a semi-classical measure. Moreover, we obtain that the linear functional associated with µ1 is a specific rational transformation of the linear functional corresponding to µ0. Some examples are given.
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