A Relation between the Coefficients in the Recurrence Formula and the Spectral Function for Orthogonal Polynomials

DOI10.2307/1999876zbMath0445.42002OpenAlexW4247499521MaRDI QIDQ3889519

Jeffrey S. Geronimo

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1999876

zbMATH Keywords

orthogonal polynomialsspectral functionrecurrence formula

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

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Cites Work

• A class of orthogonal polynomials
• Necessary and Sufficient Conditions Relating the Coefficients in the Recurrence Formula to the Spectral Function for Orthogonal Polynomials
• Scattering Theory and Polynomials Orthogonal on the Real Line
• Scattering theory and polynomials orthogonal on the unit circle
• A Convergence Equivalence Related to Polynomials Orthogonal on the Unit Circle