Compact perturbations of orthogonal polynomials

DOI10.2140/pjm.1992.153.163zbMath0723.42009OpenAlexW2057480698MaRDI QIDQ756631

Walter Van Assche, Paul G. Nevai

Publication date: 1992

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

Full work available at URL: https://doi.org/10.2140/pjm.1992.153.163

zbMATH Keywords

orthogonal polynomialsrecurrence relationfunctions of the second kindorthogonality measure

Mathematics Subject Classification ID

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

Related Items (16)

Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials ⋮ A large family of semi-classical polynomials: The perturbed Chebyshev ⋮ Ratio asymptotics and quadrature formulas ⋮ Spectra of Jacobi operators via connection coefficient matrices ⋮ Asymptotic behavior of solutions of general three term recurrence relations ⋮ Perturbation of orthogonal Fourier expansions ⋮ Finite sections method for Hessenberg matrices. ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices ⋮ Perturbed recurrence relations. II: The general case ⋮ Dynamics in the Szeő class and polynomial asymptotics ⋮ Complex Jacobi matrices ⋮ Finite perturbations of orthogonal polynomials ⋮ Ted Chihara and his work on orthogonal polynomials ⋮ The extremal zeros of a perturbed orthogonal polynomials system ⋮ Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation

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