A new linear spectral transformation associated with derivatives of Dirac linear functionals

DOI10.1016/J.JAT.2011.08.003zbMath1241.42021OpenAlexW2063743755MaRDI QIDQ655449

Luis E. Garza, Kenier Castillo, Francisco Marcellán

Publication date: 4 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.08.003

zbMATH Keywords

orthogonal polynomials on the unit circleouter relative asymptoticsCarathéodory functionsHermitian linear functionalsquasi-definite linear functionalsVerblunsky parameters

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)

Related Items (4)

A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle ⋮ Generators of rational spectral transformations for nontrivial $\mathcal {C}$-functions ⋮ On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle

Cites Work

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• Perturbations on the subdiagonals of Toeplitz matrices
• Generalized bounded variation and inserting point masses
• Spectral transformations for Hermitian Toeplitz matrices
• Universality limits involving orthogonal polynomials on the unit circle
• Orthogonal polynomials and measures on the unit circle. The geronimus transformations
• Rational spectral transformations and orthogonal polynomials
• Lebesgue perturbation of a quasi-definite Hermitian functional. The positive definite case
• Szegö polynomials and Szegö quadrature for the Fejér kernel
• Direct and inverse polynomial perturbations of Hermitian linear functionals
• Christoffel transforms and Hermitian linear functionals
• Orthogonal Polynomials and Rational Modifications of Measures

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