A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials

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dc.creatorDeift, Percy
dc.creatorOstensson, Jorgen
dc.date2005-04-13
dc.date.accessioned2026-07-07T05:19:06Z
dc.date.available2026-07-07T05:19:06Z
dc.descriptionIn this paper the authors show how to use Riemann-Hilbert techniques to prove various results, some old, some new, in the theory of Toeplitz operators and orthogonal polynomials on the unit circle (OPUC's). There are four main results: the first concerns the approximation of the inverse of a Toeplitz operator by the inverses of its finite truncations. The second concerns a new proof of the `hard' part of Baxter's theorem, and the third concerns the Born approximation for a scattering problem on the lattice $\mathbb{Z}_+$. The fourth and final result concerns a basic proposition of Golinskii-Ibragimov arising in their analysis of the Strong Szegö Limit Theorem.
dc.identifierhttps://arxiv.org/abs/math/0504284
dc.identifierhttp://arxiv.org/abs/math/0504284
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74893
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.titleA Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials
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