Matrix orthogonal polynomials on the unit circle

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1981 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 22, pages 1,359-1,365 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Geronimo, Jeffrey S.;

doi: 10.1063/1.525073

Matrix orthogonal polynomials on the unit circle

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Abstract

The properties of matrix orthogonal polynomials on the unit circle are investigated beginning with their recurrence formulas. The techniques of scattering theory and Banach algebras are used in the investigation. A matrix generalization of a theorem of Baxter is proved.

Related Organizations

Georgia Institute of Technology
United States
Mississippi School for Mathematics and Science
United States

Keywords

Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Fourier coefficients, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, matrix orthogonal polynomials, scalar orthogonal polynomials

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