On Baxter's difference systems
Jeffrey S. Geronimo, Leonid Golinskii
TL;DR
This paper investigates the asymptotic behavior of solutions to Baxter's difference system using advanced methods, providing new Tauberian-type results especially when the spectral parameter is on the unit circle.
Contribution
It applies the Benzaid and Lutz asymptotic method to Baxter's difference system, offering novel Tauberian-type results for spectral parameters on the unit circle.
Findings
Derived asymptotic representations of solutions
Obtained Tauberian-type results for spectral parameter on the unit circle
Enhanced understanding of Baxter's difference system behavior
Abstract
We study the asymptotics of solutions of a difference system introduced by Baxter by using the general method for the asymptotic representation of such solutions due to Benzaid and Lutz. Some results of Tauberian type are obtained in the case when the spectral parameter belongs to the unit circle.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Matrix Theory and Algorithms