Kasahara, YukioYukioKasaharaBingham, Nicholas HNicholas HBingham2019-03-202019-07-242018-12-01Mathematical News / Mathematische Nachrichten, 2018, 291 (17-18), pp.2590-25980025-584Xhttp://hdl.handle.net/10044/1/67701In 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.© 2018 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim. This is the accepted version of the following article: Kasahara, Y, Bingham, NH. Matricial Baxter's theorem with a Nehari sequence. Mathematische Nachrichten. 2018; 291: 2590– 2598, which has been published in final form at https://dx.doi.org/10.1002/mana.201700147Science & TechnologyPhysical SciencesMathematicsBaxter's theoremNehari problemorthogonal polynomialsCOEFFICIENTSPREDICTIONJournal Articlehttps://www.dx.doi.org/10.1002/mana.2017001471522-2616