Year: 2013
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Suetin, Sergey
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2951006926