Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014Spectral problems
|Page(s)||282 - 294|
|Published online||17 July 2014|
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
© EDP Sciences, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.