On Extensions of a Theorem of Baxter

Mathematics – Classical Analysis and ODEs

Scientific paper

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11 pages

Scientific paper

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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