Boundary conditions of Sturm-Liouville operators with mixed spectra

dc.contributor.author	del Rio, R
dc.contributor.author	Tchebotareva, O
dc.date.accessioned	2011-01-22T10:26:42Z
dc.date.available	2011-01-22T10:26:42Z
dc.date.issued	2003
dc.identifier.issn	0022-247X
dc.identifier.uri	http://hdl.handle.net/11154/1663
dc.description.abstract	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.	en_US
dc.language.iso	en	en_US
dc.title	Boundary conditions of Sturm-Liouville operators with mixed spectra	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	1906
dc.identifier.doi	10.1016/j.jmaa.2003.09.008
dc.source.novolpages	288(2):518-529
dc.subject.wos	Mathematics, Applied
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.subject.keywords	Sturm-Liouville operator
dc.subject.keywords	mixed spectra
dc.subject.keywords	spectral measure
dc.relation.journal	Journal of Mathematical Analysis and Applications