Spectral distributions for long range perturbations
type: Item
instance of: scholarly article
title: Spectral distributions for long range perturbations
zbMATH Open document ID: 1088.35041
author: Jean-Marc Bouclet
published in: Journal of Functional Analysis
publication date: 2004-10-01T00:00:00Z
review text: The author studies distributions (spectral distributions) that generalize the concept of spectral shift functions to the case of long-range perturbations of pseudodifferential operators. He proves relations between spectral distributions and relative scattering determinants and he defines a regularized scattering phase. The relations that he obtains are analogous to the ones for the standard spectral shift function. Furthermore, the high-energy and the semiclassical limits are studied. In particular, Breit-Wigner formulae are proven for long-range potentials.
reviewed by: Ricardo Weder
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 81U20
Mathematics Subject Classification ID: 81U05
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 2105600
zbMATH Keywords: long-range potentials
zbMATH Keywords: spectral shift function
MaRDI profile type: Publication
full work available at URL: j.jfa.2003.07.005
OpenAlex ID: W2027580798
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DOI: 10.1016/J.JFA.2003.07.005
description: scientific article; zbMATH DE number 2105600