Spectral theory of difference operators with almost constant coefficients

DC FieldValueLanguage
dc.contributor.authorBehncke, H.
dc.contributor.authorNyamwala, F. Oluoch
dc.date.accessioned2021-12-23T15:58:24Z-
dc.date.available2021-12-23T15:58:24Z-
dc.date.issued2011
dc.identifier.issn10236198
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/3363-
dc.description.abstractThe spectrum of higher even order difference operators with almost constant coefficients is determined. With appropriate smoothness and decay conditions on the coefficients, we show that singular continuous spectrum is absent and that the absolutely continuous spectrum agrees with that of the constant coefficient limiting operator. For such operators, the absolutely continuous spectrum is determined uniquely by the range of the characteristic polynomial. This result extends a similar result for even order differential operators. The methods of proof are closely related likewise. Finally, some results on fourth order operators with unbounded coefficients are shown.
dc.language.isoen
dc.publisherTAYLOR & FRANCIS LTD
dc.relation.ispartofJOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
dc.subjectabsolutely continuous spectrum
dc.subjectdifference operators
dc.subjecteigenvalues
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectsingular continuous spectrum
dc.subjectWEYL-TITCHMARSH THEORY
dc.titleSpectral theory of difference operators with almost constant coefficients
dc.typejournal article
dc.identifier.doi10.1080/10236190903160681
dc.identifier.isiISI:000290430900003
dc.description.volume17
dc.description.issue5
dc.description.startpage677
dc.description.endpage695
dc.identifier.eissn15635120
dc.publisher.place2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND
dcterms.isPartOf.abbreviationJ. Differ. Equ. Appl.
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