Relationship Between Different Types of Inverse Data for the One-Dimensional Schrödinger Operator on a Half-Line

A. S. Mikhaylov, V. S. Mikhaylov

Research output

2 Citations (Scopus)

Abstract

Inverse dynamic, spectral, quantum, and acoustic scattering problems for the Schrödinger operator on a half-line are considered. The goal of the paper is to establish the relationship between different types of inverse data for these problems. The central objects, which serve as a source for all formulas, are the kernels of the so-called connecting operators and the corresponding Krein equations.

Original languageEnglish
Pages (from-to)779-794
Number of pages16
JournalJournal of Mathematical Sciences (United States)
Volume226
Issue number6
DOIs
Publication statusPublished - 1 Nov 2017

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Relationship Between Different Types of Inverse Data for the One-Dimensional Schrödinger Operator on a Half-Line'. Together they form a unique fingerprint.

Cite this