Geodesic
CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients
M. Zinchenko1
1 Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 282-294

Voir la notice de l'article provenant de la source EDP Sciences

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.
DOI : 10.1051/mmnp/20149519

M. Zinchenko 1

1 Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA 
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M. Zinchenko. CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 282-294. doi: 10.1051/mmnp/20149519

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