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dc.contributor.advisorMakarov, Konstantin A.eng
dc.contributor.authorBorovyk, Vita, 1979-eng
dc.date.issued2008eng
dc.date.submitted2008 Springeng
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.eng
dc.descriptionTitle from title screen of research.pdf file (viewed on June 2, 2009)eng
dc.descriptionVita.eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionThesis (Ph. D.) University of Missouri-Columbia 2008.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.eng
dc.description.abstractThis dissertation is concerned with various aspects of the spectral theory of differential and pseudodifferential operators. It consists of two chapters. The first chapter presents a study of a family of spectral shift functions [xi]r, each associated with a pair of self-adjoint Schrödinger operators on a finite interval (0, r). Specifically, we investigate the limit behavior of the functions [xi]r when the parameter r approaches infinity. We prove that an ergodic limit of [xi]r coincides with the spectral shift function associated with the singular problem on the semi-infinite interval. In the second chapter, we study the attractor of the dynamical system r [arrow] Ar, where Ar is the truncated Wiener-Hopf operator surrounded by operators of multiplication by the function e[superscript alpha/2] [absolute value of dot], [alpha][greater than] 0. We show that in the case when the symbol of the Wiener-Hopf operator is a rational function with two real zeros the dynamical system r [arrow] Ar possesses a nontrivial attractor of a limit-circle type.eng
dc.identifier.merlinb68586917eng
dc.identifier.oclc368168717eng
dc.identifier.urihttps://hdl.handle.net/10355/5566
dc.identifier.urihttps://doi.org/10.32469/10355/5566eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartof2008 Freely available dissertations (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2008 Dissertationseng
dc.subject.lcshSpectral theory (Mathematics)eng
dc.subject.lcshApproximation theoryeng
dc.subject.lcshPseudodifferential operatorseng
dc.titleBox approximation and related techniques in spectral theoryeng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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