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CMV Matrices with Super Exponentially Decaying VerblunskyCoefficients

Published online by Cambridge University Press:  17 July 2014

M. Zinchenko
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Abstract

We investigate several equivalent notions of the Jost solution associated with a unitaryCMV matrix and provide a necessary and sufficient conditions for the Jost solution toconsist of entire functions of finite growth order in terms of super exponential decay ofVerblunsky coefficients. We also establish several one-to-one correspondences between CMVmatrices with super-exponentially decaying Verblunsky coefficients and spectral dataassociated with the first component of the Jost solution.

Keywords

Jost solutionCMV matrixInverse problem
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 5: Spectral problems , 2014 , pp. 282 - 294
Copyright
© EDP Sciences, 2014

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