论文标题

扩展CMV矩阵的次级理论

Subordinacy Theory for Extended CMV Matrices

论文作者

Guo, Shuzheng, Damanik, David, Ong, Darren C.

论文摘要

我们为扩展的CMV矩阵开发次级理论。也就是说,我们为与给定扩展的CMV矩阵相关的奇异频谱度量的单数和绝对连续的部分提供了明确的支持。也描述了该结果的一些推论和应用。

We develop subordinacy theory for extended CMV matrices. That is, we provide explicit supports for the singular and absolutely continuous parts of the canonical spectral measure associated with a given extended CMV matrix in terms of the presence or absence of subordinate solutions of the generalized eigenvalue equation. Some corollaries and applications of this result are described as well.

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