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...

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书目详细资料
Main Authors: Geronimo, J. S., Martínez-Finkelshtein, Andrei
格式: info:eu-repo/semantics/article
语言:English
出版: 2012
主题:
在线阅读:http://hdl.handle.net/10835/1633
实物特征
总结: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.