Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients

DOI10.1007/BF01238266zbMath0754.42012OpenAlexW2016097386MaRDI QIDQ1185194

S. Singh

Publication date: 28 June 1992

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01238266

zbMATH Keywords

orthogonal polynomialsthree-term recurrence relationJacobi operatorJacobi matrixunbounded recurrence coefficientsrecurrence coefficientsorthogonality measure

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items

The inverse resonance problem for Hermite operators, Weak convergence of orthogonal polynomials, Orthogonal polynomials, spectral measures, and absolute continuity, Unbounded Jacobi matrices at critical coupling, Singular measures on the unit circle and their reflection coefficients, Mourre's theory for some unbounded Jacobi matrices, Asymptotic behavior of generalized eigenvectors of Jacobi matrices in the critical (``double root) case, Jacobi matrices with power-like weights -- grouping in blocks approach, Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle, Properties of zeros of orthogonal polynomials and related functions, Alternative approaches to the absolute continuity of Jacobi matrices with monotonic weights.

Cites Work

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• Tridiagonal matrix representations of cyclic self-adjoint operators. II
• Orthogonal Polynomials, Measures and Recurrence Relations
• Spectral Measures, Orthogonal Polynomials, and Absolute Continuity
• Orthogonal polynomials
• Cyclic Operators, Commutators, and Absolutely Continuous Measures