Trace formulas for a class of Jacobi operators

Sergey Suetin

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arXiv · 1310.4356

Trace formulas for a class of Jacobi operators

Sergey Suetin

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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.

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Sergey Suetin. 2013-10-16. Trace formulas for a class of Jacobi operators. https://arxiv.org/abs/1310.4356

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