Boundary conditions of Sturm-Liouville operators with mixed spectra

We study bounds on averages of spectral functions corresponding to Sturm-Liouville operators on the half line for different boundary conditions. As a consequence constraints are obtained which imply existence of singular spectrum embedded in a.c. spectrum for sets of boundary conditions with positiv...

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Detalles Bibliográficos
Autores: del Rio, R, Tchebotareva, O
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1663
Acceso en línea:http://hdl.handle.net/11154/1663
Access Level:acceso abierto
Palabra clave:Mathematics, Applied
Mathematics
Sturm-Liouville operator
mixed spectra
spectral measure
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spelling Boundary conditions of Sturm-Liouville operators with mixed spectradel Rio, RTchebotareva, OMathematics, AppliedMathematicsSturm-Liouville operatormixed spectraspectral measureWe study bounds on averages of spectral functions corresponding to Sturm-Liouville operators on the half line for different boundary conditions. As a consequence constraints are obtained which imply existence of singular spectrum embedded in a.c. spectrum for sets of boundary conditions with positive measure and potentials vanishing in an interval [0, N]. These constraints are related to estimates on the measure of sets where the spectral density is positive. (C) 2003 Elsevier Inc. All rights reserved.2011-01-22T10:26:42Z2011-01-22T10:26:42Z2003info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0022-247Xhttp://hdl.handle.net/11154/1663190610.1016/j.jmaa.2003.09.008288(2):518-529reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenJournal of Mathematical Analysis and Applicationsinfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/16632025-09-17T19:20:25Z
dc.title.none.fl_str_mv Boundary conditions of Sturm-Liouville operators with mixed spectra
title Boundary conditions of Sturm-Liouville operators with mixed spectra
spellingShingle Boundary conditions of Sturm-Liouville operators with mixed spectra
del Rio, R
Mathematics, Applied
Mathematics
Sturm-Liouville operator
mixed spectra
spectral measure
title_short Boundary conditions of Sturm-Liouville operators with mixed spectra
title_full Boundary conditions of Sturm-Liouville operators with mixed spectra
title_fullStr Boundary conditions of Sturm-Liouville operators with mixed spectra
title_full_unstemmed Boundary conditions of Sturm-Liouville operators with mixed spectra
title_sort Boundary conditions of Sturm-Liouville operators with mixed spectra
dc.creator.none.fl_str_mv del Rio, R
Tchebotareva, O
author del Rio, R
author_facet del Rio, R
Tchebotareva, O
author_role author
author2 Tchebotareva, O
author2_role author
dc.subject.none.fl_str_mv Mathematics, Applied
Mathematics
Sturm-Liouville operator
mixed spectra
spectral measure
topic Mathematics, Applied
Mathematics
Sturm-Liouville operator
mixed spectra
spectral measure
description We study bounds on averages of spectral functions corresponding to Sturm-Liouville operators on the half line for different boundary conditions. As a consequence constraints are obtained which imply existence of singular spectrum embedded in a.c. spectrum for sets of boundary conditions with positive measure and potentials vanishing in an interval [0, N]. These constraints are related to estimates on the measure of sets where the spectral density is positive. (C) 2003 Elsevier Inc. All rights reserved.
publishDate 2003
dc.date.none.fl_str_mv 2003
2011-01-22T10:26:42Z
2011-01-22T10:26:42Z
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0022-247X
http://hdl.handle.net/11154/1663
1906
10.1016/j.jmaa.2003.09.008
identifier_str_mv 0022-247X
1906
10.1016/j.jmaa.2003.09.008
url http://hdl.handle.net/11154/1663
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv 288(2):518-529
reponame:Sistema de Información de la Facultad de Ciencias, UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
institution UNAM
reponame_str Sistema de Información de la Facultad de Ciencias, UNAM
collection Sistema de Información de la Facultad de Ciencias, UNAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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