Mediterranean Journal of Mathematics

, 6:273

Linear Spectral Transformations and Laurent Polynomials


  • Luis Garza
    • Departamento de MatemáticasUniversidad Carlos III de Madrid
    • Universidad Autónoma de Tamaulipas
    • Departamento de MatemáticasUniversidad Carlos III de Madrid

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