Matrix Valued Orthogonal Polynomials on the Unit Circle: Some Extensions of the Classical Theory

DOI10.4153/CMB-2009-012-3zbMath1181.42029MaRDI QIDQ3625625

L. Miranian

Publication date: 5 May 2009

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

recurrence relationsmatrix orthogonal polynomialsChristoffel-Darboux matrix formula

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (11)

Multivariate Toda hierarchies and biorthogonal polynomials ⋮ On the Szegő transformation for some spectral perturbations of matrix measures ⋮ Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations ⋮ Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems ⋮ On the Hahn's property for matrix orthogonal polynomials on the unit circle ⋮ Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices ⋮ Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective ⋮ Matrix Uvarov transformation on the unit circle: asymptotic properties ⋮ Matrix measures on the unit circle, moment spaces, orthogonal polynomials and the Geronimus relations ⋮ Christoffel transformation for a matrix of bi-variate measures ⋮ On a Christoffel transformation for matrix measures supported on the unit circle

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