A Borg-Levinson theorem for Bessel operators
type: Item
instance of: scholarly article
title: A Borg-Levinson theorem for Bessel operators
zbMATH Open document ID: 0868.34061
author: Yanyan Li
published in: Pacific Journal of Mathematics
publication date: 1996-12-15T00:00:00Z
review text: This paper presents a direct analog of the Borg-Levinson theorem on the recovery of a potential from the sequence of eigenvalues and norming constants for differential equations of the form \[ -y'' (x)+ {{m(m+ 1)y(x)} \over {x^2}}+ p(x) y(x)= \lambda y(x), \] on the unit interval subject to various boundary conditions. This result is used to show that even zonal Schrödinger operators and Laplace operators on spheres are uniquely determined by a subsequence of their eigenvalues.
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 950179
zbMATH Keywords: Bessel operators
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: inverse spectral theory
zbMATH Keywords: Borg-Levinson theorem
zbMATH Keywords: sequence of eigenvalues
zbMATH Keywords: zonal Schrödinger operators
zbMATH Keywords: Laplace operators
MaRDI profile type: Publication
full work available at URL: pjm.1997.177.1
OpenAlex ID: W2108659937
DOI: 10.2140/PJM.1997.177.1
description: scientific article; zbMATH DE number 950179