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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113000We 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 pagesSpectral TheoryClassical Analysis and ODEs05E35, 30C15, 47B36Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circletext