Linear spectral transformation and Laurent polynomials

DOI10.1007/S00009-009-0008-5zbMath1189.42011OpenAlexW1964555090MaRDI QIDQ1038595

Francisco Marcellán, Luis E. Garza

Publication date: 18 November 2009

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-009-0008-5

zbMATH Keywords

Laurent polynomialsorthogonal polynomials on the unit circlelinear spectral transformations

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (4)

Darboux transformations for CMV matrices ⋮ Generators of rational spectral transformations for nontrivial $\mathcal {C}$-functions ⋮ Direct and inverse polynomial perturbations of Hermitian linear functionals ⋮ Christoffel transformation for a matrix of bi-variate measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial perturbations of bilinear functionals and Hessenberg matrices
• Generalized bounded variation and inserting point masses
• Spectral transformations for Hermitian Toeplitz matrices
• Verblunsky parameters and linear spectral transformations
• Relation between polynomials orthogonal on the unit circle with respect to different weights
• Darboux transformation and perturbation of linear functionals
• Christoffel transforms and Hermitian linear functionals
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Orthogonal Polynomials and Rational Modifications of Measures
• DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS

This page was built for publication: Linear spectral transformation and Laurent polynomials