CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients
Department of Mathematics and Statistics, University
of New Mexico, Albuquerque, NM
Corresponding author. E-mail: email@example.com
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.
Mathematics Subject Classification: 47B36 / 34L40 / 39A70
Key words: Jost solution / CMV matrix / Inverse problem
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