Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle

Abstract

We 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.info:eu-repo/semantics/publishedVersio

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