Necessary and Sufficient Conditions Relating the Coefficients in the Recurrence Formula to the Spectral Function for Orthogonal Polynomials

DOI10.1137/0514048zbMath0517.42031OpenAlexW2066951072MaRDI QIDQ3665640

Publication date: 1983

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0514048

zbMATH Keywords

recurrence

Mathematics Subject Classification ID

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

Related Items (8)

Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ On the spectral analysis of self adjoint operators generated by second order difference equations ⋮ M. G. Krein's ideas in the theory of orthogonal polynomials ⋮ A Relation between the Coefficients in the Recurrence Formula and the Spectral Function for Orthogonal Polynomials ⋮ Bernstein-Szegő measures, Banach algebras, and scattering theory ⋮ The one-quarter class of orthogonal polynomials ⋮ Orthogonal polynomials with discrete spectra of the real line ⋮ On the scattering problem in Ryckman's class of Jacobi matrices

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