@Article{Mykytyuk2019,
author = "Mykytyuk, Yaroslav and Sushchyk, Nataliia",
title = "Description of the scattering data for Sturm-Liouville operators on the half-line",
journal = "Opuscula Math.",
year = "2019",
volume = "39",
number = "4",
pages = "557--576",
doi = "https://doi.org/10.7494/OpMath.2019.39.4.557",
url = "https://doi.org/10.7494/OpMath.2019.39.4.557",
abstract = "We describe the set of the scattering data for self-adjoint Sturm-Liouville operators on the half-line with potentials belonging to \(L_1(\mathbb{R}_+,\rho(x)\,\text{d} x)\), where \(\rho:\mathbb{R}_+\to\mathbb{R}_+\) is a monotonically nondecreasing function from some family \(\mathscr{R}\). In particular, \(\mathscr{R}\) includes the functions \(\rho(x)=(1+x)^{\alpha}\) with \(\alpha\geq 1\).",
keywords = "inverse scattering, Schrödinger operator, Banach algebra",
issn = "1232-9274"
}