Mathematics – Classical Analysis and ODEs
Scientific paper
2005-08-12
Mathematics
Classical Analysis and ODEs
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.
Geronimo Jeffrey S.
Martinez-Finkelshtein Andrei
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