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Associated polynomials, spectral matrices and the bispectral problem

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Publication:1582294
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DOI10.4310/MAA.1999.v6.n2.a6zbMath0956.33007OpenAlexW128423551MaRDI QIDQ1582294

Luc Haine, F. Alberto Gruenbaum

Publication date: 3 October 2000

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1999.v6.n2.a6


zbMATH Keywords

orthogonal polynomialsJacobi polynomialsspectral theoryorthogonal functions


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General spectral theory of ordinary differential operators (34L05)


Related Items (5)

The Darboux process and a noncommutative bispectral problem: some explorations and challenges ⋮ The bilateral birth–death chain generated by the associated Jacobi polynomials ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ A noncommutative version of the bispectral problem. ⋮ The spectral matrices of Toda solitons and the fundamental solution of some discrete heat equations.




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