Linear Spectral Transformations and Laurent Polynomials



In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out.

Mathematics Subject Classification (2000)

Primary 42C05 Secondary 15A23 


Quasi-definite linear functionals Laurent polynomials linear spectral transformations Hessenberg matrices Verblunsky parameters 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Departamento de MatemáticasUniversidad Carlos III de MadridLeganésSpain
  2. 2.Universidad Autónoma de TamaulipasMatamorosMéxico
  3. 3.Departamento de MatemáticasUniversidad Carlos III de MadridLeganésSpain

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