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Spectral Theory of Differential and Difference Operators in Hilbert Spaces

With appropriate smoothness and decay conditions, it has been shown that the deficiency index and spectral properties of unbounded differential operators are superpositions of the contributions from the individual clusters. The difference operators with almost constant coefficients are limit point at infinity and the absolutely continuous spectrum of their selfadjoint extensions coincide with that of the limiting selfadjoint extension operators.

Identiferoai:union.ndltd.org:uni-osnabrueck.de/oai:repositorium.ub.uni-osnabrueck.de:urn:nbn:de:gbv:700-201006306362
Date30 June 2010
CreatorsNyamwala, Fredrick Oluoch
ContributorsProf. em. Dr. Horst Behncke, Prof. Don Hinton, Prof. Dr. Christian Remling
Source SetsUniversität Osnabrück
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/pdf, application/zip
Rightshttp://rightsstatements.org/vocab/InC/1.0/

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