Topics in spectral and inverse spectral theory

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Topics in spectral and inverse spectral theory

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/4460

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dc.contributor.advisor Gesztesy, Fritz, 1953- en
dc.contributor.author Zinchenko, Maksym, 1980- en_US
dc.date.accessioned 2010-01-12T17:07:49Z
dc.date.available 2010-01-12T17:07:49Z
dc.date.issued 2006 en_US
dc.date.submitted 2006 Summer en
dc.identifier.other ZinchenkoM-071806-D5283 en_US
dc.identifier.uri http://hdl.handle.net/10355/4460
dc.description The 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.description Title from title screen of research.pdf file viewed on (May 2, 2007) en_US
dc.description Includes bibliographical references. en_US
dc.description Vita. en_US
dc.description Thesis (Ph.D.) University of Missouri-Columbia 2006. en_US
dc.description Dissertations, Academic -- University of Missouri--Columbia -- Mathematics. en_US
dc.description.abstract This 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.language.iso en_US en_US
dc.publisher University of Missouri--Columbia en_US
dc.relation.ispartof 2006 Freely available dissertations (MU) en_US
dc.subject.lcsh Spectral theory (Mathematics) en_US
dc.subject.lcsh Schrödinger operator en_US
dc.subject.lcsh Unitary operators en_US
dc.title Topics in spectral and inverse spectral theory en_US
dc.type Thesis en_US
thesis.degree.discipline Mathematics en_US
thesis.degree.grantor University of Missouri--Columbia en_US
thesis.degree.name Ph.D. en_US
thesis.degree.level Doctoral en_US
dc.identifier.merlin .b58487323 en_US
dc.identifier.oclc 123914933 en_US
dc.relation.ispartofcommunity University of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2006 Dissertations


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