Inverse problems for the Hill operator: The direct approach
type: Item
instance of: scholarly article
title: Inverse problems for the Hill operator: The direct approach
zbMATH Open document ID: 0896.34068
author: P. P. Kargaev
author: E. Korotyaev
published in: Doklady Mathematics
publication date: 1998-10-11T00:00:00Z
review text: The Hill operator \[ H= {d^2\over dx^2}+ V(x),\quad -\infty< x<\infty\tag{1} \] is considered, where \(V(x)= V(x+ 1)\), \(V(x)= V(1- x)\), \(\int^1_0 V(x)dx= 0\). The mapping of potentials \(V(x)\) into the space of spectral data is introduced. The direct approach to the inverse problem for the Hill operator is based on this mapping.
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34A55
zbMATH DE Number: 1155287
zbMATH Keywords: potentials
zbMATH Keywords: spectral data
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1155287