Trace formulas for a class of Jacobi operators
Complex Variables
2013-10-17 v1
Abstract
In this paper we study a class of Jacobi operators, such that each operator is generated by the unit Borel measure with a support consisting of a finite number of intervals on the real line R and a finite number of points in C, located outside the convex hull of the intervals and symmetrically with respect to R. In such a class of operators we have obtained the asymptotic behavior of the diagonal Green's function and trace formulas for sequences of coefficients corresponding to a given operator. Bibliography: 34 titles.
Keywords
Cite
@article{arxiv.1310.4356,
title = {Trace formulas for a class of Jacobi operators},
author = {Sergey Suetin},
journal= {arXiv preprint arXiv:1310.4356},
year = {2013}
}
Comments
in Russian