Oscillation theory for canonical systems, applications, and a couple of other things

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dc.contributor.advisorRemling, Christian
dc.contributor.authorScarbrough, Kyle
dc.contributor.committeeMemberBarboza, Bruno
dc.contributor.committeeMemberAlbert, John
dc.contributor.committeeMemberPetrov, Nikola
dc.contributor.committeeMemberPrzebinda, Tomasz
dc.date.accessioned2020-07-28T13:54:30Z
dc.date.available2020-07-28T13:54:30Z
dc.date.issued2020-07-30
dc.date.manuscript2020-07-22
dc.description.abstractOscillation theory for canonical systems is developed. This is then applied to various topics related to semibounded systems and the essential spectrum. The correspondence between self-adjoint relations and self-adjoint operators coming from canonical systems is investigated. An upper bound on the number of solutions of a one-channel difference equation is obtained.en_US
dc.identifier.urihttps://hdl.handle.net/11244/325308
dc.languageen_USen_US
dc.subjectspectral theoryen_US
dc.subjectcanonical systemsen_US
dc.subjectoscillation theoryen_US
dc.thesis.degreePh.D.en_US
dc.titleOscillation theory for canonical systems, applications, and a couple of other thingsen_US
ou.groupCollege of Arts and Sciences::Department of Mathematicsen_US
shareok.nativefileaccessrestricteden_US

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