Orthogonal polynomials on the unit circle: Symmetrization and quadratic decomposition

DOI10.1016/0021-9045(91)90115-QzbMath0721.42015OpenAlexW2048091790MaRDI QIDQ2640823

Gabriela Sansigre, Francisco Marcellán

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90115-q

zbMATH Keywords

decompositionsymmetrizationmonic orthogonal polynomialsorthogonal polynomials on the unit circle

Mathematics Subject Classification ID

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

Related Items (14)

Sieved para-orthogonal polynomials on the unit circle ⋮ Darboux transformations for CMV matrices ⋮ On five-diagonal Toeplitz matrices and orthogonal polynomials on the unit circle ⋮ Characterization of orthogonal polynomials with respect to a functional ⋮ On orthogonal polynomials obtained via polynomial mappings ⋮ On \(m\)-symmetric \(d\)-orthogonal polynomials ⋮ On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation ⋮ Generators of rational spectral transformations for nontrivial $\mathcal {C}$-functions ⋮ Symbolic approach to the general quadratic polynomial decomposition ⋮ A class of nonsymmetric orthogonal polynomials on the unit circle ⋮ Orthogonal polynomials on the unit circle via a polynomial mapping on the real line ⋮ On some \((n-1)\)-symmetric linear functionals ⋮ A CMV connection between orthogonal polynomials on the unit circle and the real line ⋮ Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures

Cites Work

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• A class of nonsymmetric orthogonal polynomials

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