Boundary condition dependence of spectral zeta functions.
dc.contributor.advisor | Kirsten, Klaus, 1962- | |
dc.creator | Graham, Curtis W. 1983- | |
dc.date.accessioned | 2015-09-04T13:22:39Z | |
dc.date.available | 2015-09-04T13:22:39Z | |
dc.date.created | 2015-08 | |
dc.date.issued | 2015-07-14 | |
dc.date.submitted | August 2015 | |
dc.date.updated | 2015-09-04T13:22:39Z | |
dc.description.abstract | In 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.mimetype | application/pdf | |
dc.identifier.uri | http://hdl.handle.net/2104/9459 | |
dc.language.iso | en | |
dc.rights.accessrights | Worldwide access | |
dc.rights.accessrights | Access changed 12/4/17 | |
dc.subject | Spectral zeta function. Sturm-Liouville. Laplacian. WKB. Functional determinant. Heat kernel. | |
dc.title | Boundary condition dependence of spectral zeta functions. | |
dc.type | Thesis | |
dc.type.material | text |