On Extensions of a Theorem of Baxter

On Extensions of a Theorem of Baxter

We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This is accomplished by using the link between the negative Fourier coefficients of the scattering function and the coefficien...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Geronimo, J. S., Martínez-Finkelshtein, Andrei
Format: info:eu-repo/semantics/article
Sprache:English
Veröffentlicht: 2012
Schlagworte:
Teorema de Baxter
Polinomios ortogonales
Círculo unitario
Baxter's Theorem
Polynomials orthogonal
Unit circle
Online Zugang:http://hdl.handle.net/10835/1633
Beschreibung
Zusammenfassung:We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This is accomplished by using the link between the negative Fourier coefficients of the scattering function and the coefficients in the recurrence formula satisfied by these polynomials.

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