A Difference Equation Arising from the Trigonometric Moment Problem Having Random Reflection Coefficients - An Operator Theoretic Approach
A Difference Equation Arising from the Trigonometric Moment Problem Having Random Reflection Coefficients - An Operator Theoretic Approach
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由具有随机反射系数的三角矩问题导出的差分方程——算子理论方法
DOI：
10.1006/jfan.1994.1081
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发表时间：
1994
影响因子：
1.7
通讯作者：
A. Teplyaev
中科院分区：
文献类型：
--
作者：
J. Geronimo;A. Teplyaev
摘要研究了单位圆上正交多项式的算子及其双无限类似算子。我们假设在运营商的元素是从一个平稳的随机过程，我们调查这些运营商的频谱的性质。李雅普诺夫指数的介绍，我们研究它们的关系与绝对连续的组件的频谱上的运营商。
Abstract Operators associated with polynomials orthogonal on the unit circle and their doubly infinite analogs are considered. We assume that the elements in the operators are obtained from a stationary stochastic process and we investigate the properties of the spectrum of these operators. Lyapunov exponents are introduced and we examine their relationship with the absolutely continuous components of the spectrum of the above operators.