Inverse scattering problems for half-line Schrödinger operators and Banach algebras

The inverse scattering problem for half-line Schrödinger operators with potentials from the Marchenko class is shown to be closely related to some Banach algebra of functions on the line. In particular, it is proved that the topological conditions in the Marchenko theorem can be replaced by the cond...

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Bibliographic Details
Main Authors: Yaroslav Mykytyuk, Nataliia Sushchyk
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2018-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol38/5/art/opuscula_math_3832.pdf