Spectral theory of difference operators with almost constant coefficients II

DC FieldValueLanguage
dc.contributor.authorBehncke, H.
dc.contributor.authorNyamwala, F. Oluoch
dc.date.accessioned2021-12-23T16:02:40Z-
dc.date.available2021-12-23T16:02:40Z-
dc.date.issued2011
dc.identifier.issn10236198
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/5547-
dc.description.abstractWe show that the operators whose coefficients are approximately constant in a general sense have an absolutely continuous spectrum which is equal to that of the corresponding constant coefficient operator. For such operators, the absolutely continuous spectrum can be read off from the associated characteristic polynomial. This generalizes the classical results on second-order operators and extends those of higher order differential operators to the difference setting. Our approach relies on an analysis of the associated difference equation with the help of uniform asymptotic summation techniques.
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.subjectLINEAR HAMILTONIAN-SYSTEMS
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectsingular continuous spectrum
dc.subjectWEYL-TITCHMARSH THEORY
dc.titleSpectral theory of difference operators with almost constant coefficients II
dc.typejournal article
dc.identifier.doi10.1080/10236190903413577
dc.identifier.isiISI:000290430900013
dc.description.volume17
dc.description.issue5
dc.description.startpage821
dc.description.endpage829
dc.publisher.place4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
dcterms.isPartOf.abbreviationJ. Differ. Equ. Appl.
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