Szegő and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations

DOI10.1090/S0025-5718-2012-02593-2zbMath1269.42016OpenAlexW2091685061MaRDI QIDQ2840009

A. Sri Ranga, Fernando Rodrigo Rafaeli, R. L. Lamblém, Kenier Castillo

Publication date: 17 July 2013

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-2012-02593-2

zbMATH Keywords

Szegő polynomialsreflection coefficientspara-orthogonal polynomialscanonical spectral transformations

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Moment problems and interpolation problems in the complex plane (30E05) Continued fractions; complex-analytic aspects (30B70)

Cites Work

• Unnamed Item
• Spectral transformations for Hermitian Toeplitz matrices
• Geronimus spectral transforms and measures on the complex plane
• Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials
• On a symmetry in strong distributions
• Polynomials generated by a three term recurrence relation: bounds for complex zeros
• Some consequences of a symmetry in strong distributions
• The symmetric strong moment problem
• Christoffel transforms and Hermitian linear functionals
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• A Strong Stieltjes Moment Problem
• Orthogonal Polynomials and Rational Modifications of Measures
• SzegÖ polynomials on the real axis

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