Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle

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We prove several results about zeros of paraorthogonal polynomials using the theory of rank one perturbations of unitary operators. In particular, we obtain new details on the interlacing of zeros for successive POPUC.
8 pages

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Spectral Theory, Classical Analysis and ODEs, 05E35, 30C15, 47B36

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http://salesiana.dossiersoluciones.com/handle/123456789/113000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606037
 http://arxiv.org/abs/math/0606037

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arXiv