The Darboux process and time-and-band limiting for matrix orthogonal polynomials

DOI10.1016/j.laa.2015.09.012zbMath1326.33013OpenAlexW1861147224MaRDI QIDQ890577

Mirta Castro Smirnova, F. Alberto Gruenbaum

Publication date: 10 November 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.09.012

zbMATH Keywords

Darboux processmatrix valued orthogonal polynomialstime-band limiting

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Other special orthogonal polynomials and functions (33C47)

Related Items (8)

Algebraic Heun operator and band-time limiting ⋮ Darboux transformations for orthogonal polynomials on the real line and on the unit circle ⋮ Time-and-band limiting for matrix orthogonal polynomials of Jacobi type ⋮ Matrix-valued Gegenbauer-type polynomials ⋮ Time and band limiting for exceptional polynomials ⋮ Shifted Darboux transformations of the generalized Jacobi matrices. I ⋮ \(2 \times 2\) hypergeometric operators with diagonal eigenvalues ⋮ Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators

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