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Mathematical Modelling of Natural Phenomena Mathematical Modelling of Natural Phenomena

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CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients

Published online by Cambridge University Press:  17 July 2014

M. Zinchenko
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E-mail address:
maxim@math.unm.edu
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Abstract

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

Keywords

Jost solution CMV matrix Inverse 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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