Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices

We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.

Bibliographic Details
Main Authors: Ayoub Harrat, El Hassan Zerouali, Lech Zielinski
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2020-03-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol40/2/art/opuscula_math_4013.pdf