Linear Spectral Transformations and Laurent Polynomials


DOI: 10.1007/s00009-009-0008-5

Cite this article as:
Garza, L. & Marcellán, F. Mediterr. J. Math. (2009) 6: 273. doi:10.1007/s00009-009-0008-5


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 42C05Secondary 15A23


Quasi-definite linear functionalsLaurent polynomialslinear spectral transformationsHessenberg matricesVerblunsky parameters

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