Matricial Baxter's theorem with a Nehari sequence
Matricial Baxter's theorem with a Nehari sequence
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带有 Nehari 序列的矩阵巴克斯特定理
DOI：
10.1002/mana.201700147
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发表时间：
2018
影响因子：
1
通讯作者：
Bingham Nicholas H.
中科院分区：
文献类型：
--
作者：
Kasahara Yukio;Bingham Nicholas H.
在正交多项式理论中，单位圆上的（非平凡）概率测度是由维布伦斯基系数参数化的。Baxter定理断言这样的测度是绝对连续的，并且当且仅当它的verbrusnky系数是可和的，它的傅里叶系数具有可和的正密度。本文从Nehari问题的角度给出了矩阵情况下Baxter定理的一个版本。
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.