CHARACTERIZATIONS OF UNIFORM HYPERBOLICITY AND SPECTRA OF CMV MATRICES

DAVID DAMANIK; JAKE FILLMAN; MILIVOJE LUKIC; WILLIAM YESSEN

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CHARACTERIZATIONS OF UNIFORM HYPERBOLICITY AND SPECTRA OF CMV MATRICES

机译：CMV矩阵的一致双曲性和谱的特征

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We provide an elementary proof of the equivalence of various notions of uniform hyperbolicity for a class of GL(2, C) cocycles and establish a Johnson-type theorem for extended CMV matrices, relating the spectrum to the set of points on the unit circle for which the associated Szegö cocycle is not uniformly hyperbolic.

机译：我们提供一类GL（2，C）循环的均等双曲概念的等价性的基本证明，并建立扩展CMV矩阵的Johnson型定理，将频谱与单位圆上的点集相关关联的塞格（Szegö）代步车不是一致双曲的。

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《Discrete and continuous dynamical systems▼hSeries S》 |2016年第4期|1009-1023|共15页
作者
DAVID DAMANIK; JAKE FILLMAN; MILIVOJE LUKIC; WILLIAM YESSEN;
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作者单位

Department of Mathematics Rice University Houston, TX 77005, USA;

Department of Mathematics Virginia Tech Blacksburg, VA 24061, USA;

Department of Mathematics University of Toronto Toronto, Ontario M5S 2E4, Canada;

Department of Mathematics Rice University Houston, TX 77005, USA;

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正文语种 eng
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关键词
Linear cocycles; uniform hyperbolicity; CMV matrices; generalized eigenfunctions; orthogonal polynomials;

机译：线性cocycles;统一的双曲线CMV矩阵;广义特征函数正交多项式;

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专利

1. Spectral Properties of Random and Deterministic CMV Matrices [J] . M. Stoiciu Mathematical modelling of natural phenomena . 2014,第5期

机译：随机和确定性CMV矩阵的光谱特性
2. An inverse spectral theory for finite CMV matrices [J] . Golinskii L., Kudryavtsev M. Inverse problems and imaging . 2010,第1期

机译：有限CMV矩阵的逆谱理论
3. Rational interpolation and mixed inverse spectral problem for finite CMV matrices [J] . Golinskii L., Kudryavtsev M. Journal of Approximation Theory . 2009,第1期

机译：有限CMV矩阵的有理插值和混合逆谱问题
4. Hyperbolic QR factorization for J-spectraS factorization of polynomial matrices [C] . Didder Henrion, Peter Hippe IEEE Conference on Decision and Control . 2003

机译：多项式矩阵J-Spectras分解的双曲线QR分解
5. Determining the Mechanism of the Recessive Resistance to Bean Common Mosaic Virus (BCMV) Conferred by the bc-1 and bc-2 Recessive Genes in Common Bean, and Biological and Molecular Characterization of a New Strain of BCMV [D] . Orellana Arreaga, Gardenia Edith. 2019

机译：确定普通豆中bc-1和bc-2隐性基因赋予的对豆普通花叶病毒（BCMV）的隐性抗性机理，以及一株新的BCMV菌株的生物学和分子表征
6. Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts [O] . Srivatsa Bhat K, Ranjan Ganguli 2018

机译：非均匀瑞利光束的等光谱与其均匀对应物的关系
7. 4 CHARACTERIZATIONS OF UNIFORM HYPERBOLICITY AND SPECTRA OF CMV MATRICES [O] . David Damanik, Jake Fillman, Milivoje Lukic, 2016

机译：4 CmV矩阵的均匀双曲性和谱的特征
8. Uniform Spectral Amplitude Windowing for Hyperbolic Frequency Modulated Waveforms. [R] . Drumheller, D. M. 1994

机译：双曲调频波形的均匀光谱振幅窗口。

CHARACTERIZATIONS OF UNIFORM HYPERBOLICITY AND SPECTRA OF CMV MATRICES

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