Absolute summability of the trace relation for certain Schrödinger operators
type: Item
instance of: scholarly article
title: Absolute summability of the trace relation for certain Schrödinger operators
zbMATH Open document ID: 0821.34076
DOI: 10.1007/BF02099586
author: B. Simon
author: Fritz Gesztesy
author: Helge Holden
published in: Communications in Mathematical Physics
publication date: 1995-05-04T00:00:00Z
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 81U05
zbMATH DE Number: 750807
zbMATH Keywords: trace formula
zbMATH Keywords: one-dimensional Schrödinger operators
zbMATH Keywords: short-range potentials
zbMATH Keywords: absolute summability
zbMATH Keywords: scattering
zbMATH Keywords: reflection coefficients
MaRDI profile type: Publication
cites work: On exponential representation of analytic functions in the upper half- plane with positive imaginary part
cites work: Q3683036
cites work: Scattering theory for one-dimensional systems with \(\int dx\,V(x)=0\)
cites work: Q3346585
cites work: The trace formula for Schrödinger operators on the line
cites work: Scattering theory for systems with different spatial asymptotics on the left and right
cites work: Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
cites work: Levinson formula for perturbed Hill operator
cites work: THE DIRECT AND INVERSE SCATTERING PROBLEMS FOR THE ONE-DIMENSIONAL PERTURBED HILL OPERATOR
cites work: On the inverse problem for Hill's operator
cites work: Q4315850
cites work: A Short Proof of Zheludev's Theorem
cites work: The \(\xi\) function
cites work: A trace formula for multidimensional Schrödinger operators
cites work: Trace formulae and inverse spectral theory for Schrödinger operators
cites work: HIGHER ORDER TRACE RELATIONS FOR SCHRÖDINGER OPERATORS
cites work: New types of soliton solutions
cites work: Limits of soliton solutions
cites work: On the determination of a Hill's equation from its spectrum
cites work: Inverse problem for Sturm-Liouville and Hill equations
cites work: Almost periodicity of some random potentials
cites work: Q5584902
cites work: The one-dimensional inverse scattering problem for an increasing potential
cites work: ON THE CLOSURE OF THE SET OF FINITE-ZONE POTENTIALS
cites work: Q3997293
cites work: Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
cites work: The spectrum of Hill's equation
cites work: Q5726846
cites work: The inverse problem for periodic potentials
cites work: The infinite period limit of the inverse formalism for periodic potentials
full work available at URL: https://doi.org/10.1007/bf02099586
OpenAlex ID: W2034030830
description: scientific article; zbMATH DE number 750807