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

A. S. Mikhaylov; V. S. Mikhaylov

doi:10.1007/s10958-017-3566-2

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 language	English
Pages (from-to)	779-794
Number of pages	16
Journal	Journal of Mathematical Sciences (United States)
Volume	226
Issue number	6
DOIs	https://doi.org/10.1007/s10958-017-3566-2 https://doi.org/10.1007/s10958-017-3566-2
Publication status	Published - 1 Nov 2017

Scopus subject areas

Statistics and Probability
Mathematics(all)
Applied Mathematics

Access to Document

10.1007/s10958-017-3566-2
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http://www.scopus.com/inward/record.url?scp=85030221877&partnerID=8YFLogxK

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title = "Relationship Between Different Types of Inverse Data for the One-Dimensional Schr{\"o}dinger Operator on a Half-Line",

abstract = "Inverse dynamic, spectral, quantum, and acoustic scattering problems for the Schr{\"o}dinger 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.",

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