An analog of the trace formula for orthogonal polynomials with asymptotically \(N\)-periodic recurrence coefficients \((N=2)\)

DOI10.1007/BF02771089zbMath0932.42018OpenAlexW2324302447MaRDI QIDQ1125594

Boris P. Osilenker

Publication date: 8 December 1999

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02771089

zbMATH Keywords

orthogonal polynomialstrace formulaJacobi matrix

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

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• Tridiagonal matrix representations of cyclic self-adjoint operators
• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• Approximating the weight function for orthogonal polynomials on several intervals
• On Sieved Orthogonal Polynomials I: Symmetric Pollaczek Analogues
• Orthogonal Polynomials, Measures and Recurrence Relations
• Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping

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