2013/10/16 by Sergey Pavlovich Suetin, Sergey Suetin, Suetin, Sergey
Mathematics · #47B36 #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials #Spectral Theory in Mathematical Physics #math.CV #msc:47B36
paper · pdf · doi:10.48550/arxiv.1310.4356
in Russian
arxiv created 2013/10/16 · openalex publication_date 2013/10/16 · arxiv updated 2013/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.