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

Article

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

DOI: https://doi.org/10.7494/OpMath.2020.40.2.241

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opuscula_math_4013.pdf (529.75 KB)

Date

Authors

Zerouali, El Hassan

Zieliński, Lech

Access rights

Access: otwarty dostęp

Rights: CC BY 4.0

Attribution 4.0 International

Attribution 4.0 International (CC BY 4.0)

Resource type

Version

wersja wydawnicza

Journal Issue

Opuscula Mathematica

2020 - Vol. 40 - No. 2

Pagination/Pages:

pp. 241-270

Description

Bibliogr. 268-269.

Keywords

tridiagonal matrix, band matrix, unbounded self-adjoint operator, discrete spectrum, large eigenvalues, asymptotics

Abstract

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.

Access rights

Access: otwarty dostęp

Rights: CC BY 4.0

Attribution 4.0 International

Attribution 4.0 International (CC BY 4.0)

URI

https://repo.agh.edu.pl/handle/AGH/112918

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