Boundary condition dependence of spectral zeta functions.

dc.contributor.advisorKirsten, Klaus, 1962-
dc.creatorGraham, Curtis W., 1983-
dc.date.accessioned2015-09-04T13:22:39Z
dc.date.available2015-09-04T13:22:39Z
dc.date.created2015-08
dc.date.issued2015-07-14
dc.date.submittedAugust 2015
dc.date.updated2015-09-04T13:22:39Z
dc.description.abstractIn this work, we provide the analytic continuation of the spectral zeta function associated with the one-dimensional regular Sturm-Liouville problem and the two-dimensional Laplacian on the annulus. In the one-dimensional setting, we consider general separated and coupled boundary conditions, and on the annulus we restrict our work to Dirichlet-Robin boundary conditions. In both cases, we use our results to calculate the coefficients of the asymptotic expansion of the associated heat kernel. In the one-dimensional case, we additionally use the analytically continued spectral zeta function to compute the determinant of the Sturm-Liouville operator.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2104/9459
dc.language.isoen
dc.rights.accessrightsWorldwide access
dc.rights.accessrightsAccess changed 12/4/17
dc.subjectSpectral zeta function. Sturm-Liouville. Laplacian. WKB. Functional determinant. Heat kernel.
dc.titleBoundary condition dependence of spectral zeta functions.
dc.typeThesis
dc.type.materialtext
local.embargo.lift2017-08-01
local.embargo.terms2017-08-01
thesis.degree.departmentBaylor University. Dept. of Mathematics.
thesis.degree.grantorBaylor University
thesis.degree.levelDoctoral
thesis.degree.namePh.D.

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