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- Coherent pairs of linear functionals on the unit circlePublication . Branquinho, A.; Foulquie-Moreno, Ana; Marcellan, Francisco; Rebocho, M. N.In this paper we extend the concept of coherent pairs of measures from the real line to Jordan arcs and curves. [...]
- Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circlePublication . Rebocho, Maria das Neves; Castillo, Kenier; Marcellan, FranciscoWe study the interlacing properties of zeros of para–orthogonal polynomials associated with a nontrivial probability measure supported on the unit circle dμ and para–orthogonal polynomials associated with a modification of dμ by the addition of a pure mass point, also called Uvarov transformation. Moreover, as a direct consequence of our approach, we present some results related with the Christoffel transformation.