The strip of analyticity of reflectionless potentials

We study the problem of the analytical extension of bounded reflectionless potentials for the Schrödinger operator in the Hilbert space $L_2(\mathbb{R})$ and improve an estimate on the strip of analyticity established by V. A. Marchenko.

Bibliographic Details
Published in:Математичні Студії
Main Authors: Ya. V. Mykytyuk, N. S. Sushchyk
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2022-06-01
Subjects:
bounded reflectionless potentials; schrödinger operator; bargmann potential.
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/334
Description
Summary:We study the problem of the analytical extension of bounded reflectionless potentials for the Schrödinger operator in the Hilbert space $L_2(\mathbb{R})$ and improve an estimate on the strip of analyticity established by V. A. Marchenko.
ISSN:1027-4634
2411-0620

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