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12

JAT
2006

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On extensions of a theorem of Baxter

13 years 4 months ago

On extensions of a theorem of Baxter

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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.

Jeffrey S. Geronimo, Andrei Martínez-Finkel

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JAT 2006 | Negative Fourier Coefficients | Riemann-Hilbert Approach | Unit Circle |

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Added	13 Dec 2010
Updated	13 Dec 2010
Type	Journal
Year	2006
Where	JAT
Authors	Jeffrey S. Geronimo, Andrei Martínez-Finkelshtein

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