Direct and inverse polynomial perturbations of Hermitian linear functionals

DOI10.1016/j.jat.2011.02.014zbMath1221.42045OpenAlexW2092335754MaRDI QIDQ2275490

L. Velázquez, Leandro Moral, María José Cantero

Publication date: 9 August 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.02.014

zbMATH Keywords

Schur parametersorthogonal polynomials on the unit circleHermitian functionalsChristoffel and Geronimus transformationsdirect and inverse polynomial modifications

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle ⋮ Structure relations for orthogonal polynomials on the unit circle ⋮ A new linear spectral transformation associated with derivatives of Dirac linear functionals ⋮ Generators of rational spectral transformations for nontrivial $\mathcal {C}$-functions

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