Matricial Baxter's theorem with a Nehari sequence

Yukio Kasahara and Nicholas H. Bingham

Mathematische Nachrichten, 2018, vol. 291, issue 17-18, 2590-2598

Abstract: In the theory of orthogonal polynomials, (non‐trivial) probability measures on the unit circle are parametrized by the Verblunsky coefficients. Baxter's theorem asserts that such a measure is absolutely continuous and has positive density with summable Fourier coefficients if and only if its Verblusnky coefficients are summable. This note presents a version of Baxter's theorem in the matrix case from a viewpoint of the Nehari problem.

Date: 2018
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