Matricial Baxter's theorem with a Nehari sequence
File(s)KB-MN04 (2).pdf (99.78 KB)
Accepted version
Author(s)
Kasahara, Y
Bingham, NH
Type
Journal Article
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 Issued
2018-12-01
Date Acceptance
2018-05-13
ISSN
0025-584X
Publisher
Wiley-VCH Verlag
Start Page
2590
End Page
2598
Journal / Book Title
Mathematical News / Mathematische Nachrichten
Volume
291
Issue
17-18
Copyright Statement
© 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.201700147
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000457052100009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
Baxter's theorem
Nehari problem
orthogonal polynomials
COEFFICIENTS
PREDICTION
0101 Pure Mathematics
General Mathematics
Publication Status
Published
Date Publish Online
2018-07-24