A Szegő condition for a multidimensional Schrödinger operator
type: Item
instance of: scholarly article
title: A Szegő condition for a multidimensional Schrödinger operator
zbMATH Open document ID: 1135.35355
published in: Journal of Functional Analysis
publication date: 2005-03-08T00:00:00Z
review text: The authors deal with a multidimensional Schrödinger operator in \(L^2(\mathbb{R}^d)\) and introduce a version of a Szegő condition. According o the opinion of the authors their condition seems to be comparable with the classical Szegő integrability only for small energies. The corresponding condition for large energies is much weaker than the expected one and cannot be obtained by the methods of this paper.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 2141628
zbMATH Keywords: absolutely continuous spectrum
zbMATH Keywords: slow decay
zbMATH Keywords: small and large energies
zbMATH Keywords: spectral measure
author: Ari Laptev
author: Serguei Naboko
author: Oleg Safronov
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.06.009
OpenAlex ID: W1970072754
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DOI: 10.1016/J.JFA.2004.06.009
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description: scientific article; zbMATH DE number 2141628