Coherent pairs of linear functionals on the unit circle

نویسندگان

  • Amílcar José Pinto Lopes Branquinho
  • Ana Pilar Foulquié Moreno
  • Francisco Marcellán
  • M. N. Rebocho
چکیده

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 ( 0, 1) is a coherent pair of measures on the unit circle, then 0 is a semi-classical measure. Moreover, we obtain that the linear functional associated with 1 is a specific rational transformation of the linear functional corresponding to 0. Some examples are given.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 153  شماره 

صفحات  -

تاریخ انتشار 2008