Weak convergence of orthogonal polynomials

DOI10.1016/0019-3577(95)98197-JzbMath0834.42013arXivmath/9401209OpenAlexW2027797010MaRDI QIDQ1901417

Walter Van Assche

Publication date: 31 March 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9401209

zbMATH Keywords

Jacobi polynomialsLaguerre polynomialsorthonormal polynomialsspectral analysisthree-term recurrence relationJacobi matrixdual Hahn polynomialsWall polynomials

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) Appell, Horn and Lauricella functions (33C65)

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Matrix measures, moment spaces and Favard's theorem for the interval \([0,1\) and \([0,\infty)\)], The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material, Orthogonal matrix polynomials and applications, Ratio asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients, Asymptotics of recurrence coefficients for orthonormal polynomials on the line—Magnus’s method revisited, Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights, A note on the matrix valued q-d algorithm and matrix orthogonal polynomials on \([0,1\) and \([0,\infty)\)], Weak convergence for orthogonal matrix polynomials, Quadrature formulas for matrix measures --- a geometric approach

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