On the existence of the absolutely continuous component for the measure associated with some orthogonal systems
type: Item
instance of: scholarly article
title: On the existence of the absolutely continuous component for the measure associated with some orthogonal systems
zbMATH Open document ID: 1005.34076
author: Sergey Denisov
published in: Communications in Mathematical Physics
publication date: 2002-05-21T00:00:00Z
review text: By studying the asymptotics of eigenfunctions as the spectral parameter goes to infinity in the upper half-plane, the author investigates properties (existence, location) of the essential support of the absolutely continuous component of the spectral measure for Krein systems (equivalently, the Dirac systems) and for Sturm-Liouville operators. The results are formulated for particular classes of coefficients of the systems.
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 1742867
zbMATH Keywords: absolutely continuous spectrum
zbMATH Keywords: Krein systems
zbMATH Keywords: Sturm-Liouville operators
zbMATH Keywords: Dirac systems
reviewed by: Dmitry Shepelsky
MaRDI profile type: Publication
full work available at URL: s002200200598
OpenAlex ID: W2078459204
DOI: 10.1007/S002200200598
description: scientific article; zbMATH DE number 1742867