Trace formulas for a class of Jacobi operators

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.

in Russian

References in corpus (2)

• Scattering Theory for Jacobi Operators with Quasi-Periodic Background
• Algebro-Geometric Constraints on Solitons with Respect to Quasi-Periodic Backgrounds