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dc.contributor.advisorGesztesy, Fritz, 1953-en
dc.contributor.authorZinchenko, Maksym, 1980-en_US
dc.date.issued2006eng
dc.date.submitted2006 Summeren
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.en_US
dc.descriptionTitle from title screen of research.pdf file viewed on (May 2, 2007)en_US
dc.descriptionIncludes bibliographical references.en_US
dc.descriptionVita.en_US
dc.descriptionThesis (Ph.D.) University of Missouri-Columbia 2006.en_US
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.en_US
dc.description.abstractThis dissertation is concerned with two major classes of operators and provides various spectral and inverse spectral results for them. In the first part of this work a special class of one-dimensional discrete unitary operators is under investigation. The underlying Weyl-Titchmarsh theory and a Borg-type inverse spectral result are established for this class of operators. The second part of this work is devoted to some spectral theoretical questions for one- and multi-dimensional Schrödinger operators. In particular, the Weyl-Titchmarsh theory for one-dimensional self-adjoint Schrödinger operators with strongly singular potentials is established. In addition, a general perturbation theory for non-self-adjoint operators is developed and subsequently applied to a large class of non-self-adjoint multi-dimensional Schrödinger operators.en_US
dc.identifier.merlin.b58487323en_US
dc.identifier.oclc123914933en_US
dc.identifier.otherZinchenkoM-071806-D5283en_US
dc.identifier.urihttp://hdl.handle.net/10355/4460
dc.publisherUniversity of Missouri--Columbiaen_US
dc.relation.ispartof2006 Freely available dissertations (MU)en_US
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2006 Dissertations
dc.subject.lcshSpectral theory (Mathematics)en_US
dc.subject.lcshSchrödinger operatoren_US
dc.subject.lcshUnitary operatorsen_US
dc.titleTopics in spectral and inverse spectral theoryen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineMathematicseng
thesis.degree.grantorUniversity of Missouri--Columbiaen_US
thesis.degree.levelDoctoralen_US
thesis.degree.namePh.D.en_US


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