Inverse problem and the trace formula for the Hill operator. II
type: Item
instance of: scholarly article
title: Inverse problem and the trace formula for the Hill operator. II
zbMATH Open document ID: 0929.34016
DOI: 10.1007/PL00004733
published in: Mathematische Zeitschrift
publication date: 2000-01-16T00:00:00Z
review text: Continuing the first part of his paper [Int. Math. Res. Not. 1997, 3, 113-125 (1997; Zbl 0873.34011)], the author solves the inverse problem of recovering the periodic potential \(q\in L^2\) in Hill's operator \(Tu(x)=-u''(x) +q(x)u(x)\) from certain normalizing sequences involving the gaps in the continuous spectrum of \(T\).
reviewed by: Jürgen Appell
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 1336890
zbMATH Keywords: trace formula
zbMATH Keywords: Hill operator
zbMATH Keywords: gaps
zbMATH Keywords: continuous spectrum
author: E. Korotyaev
MaRDI profile type: Publication
full work available at URL: pl00004733
OpenAlex ID: W2087852482
description: scientific article; zbMATH DE number 1336890