148 citations · 348 across the 6 of their papers we have counts for
6 papers
Functional determinants by contour integration methods
Klaus Kirsten, Alan McKane
We present a simple and accessible method which uses contour integration methods to derive formulae for functional determinants. To make the presentation as clear as possible, the…
The Barnes zeta-function, sphere determinants and Glaisher- Kinkelin-Bendersky constants
J. S. Dowker, Klaus Kirsten
Summations and relations involving the Hurwitz and Riemann zeta-functions are extended first to Barnes zeta-functions and then to zeta-functions of general type. The analysis is mo…
Heat content asymptotics with transmittal and transmission boundary conditions
Peter Gilkey, Klaus Kirsten
We study the heat content asymptotics on a Riemannian manifold with smoooth boundary defined by Dirichlet, Neumann, transmittal and transmission boundary conditions.
Heat kernel Coefficients and Divergencies of the Casimir Energy for the Dispersive Sphere
M. Bordag, K. Kirsten
The first heat kernel coefficients are calculated for a dispersive ball whose permittivity at high frequency differs from unity by inverse powers of the frequency. The correspondin…
Spectral functions in mathematics and physics
Klaus Kirsten
Spectral functions relevant in the context of quantum field theory under the influence of spherically symmetric external conditions are analysed. Examples comprise heat-kernels, de…
Heat-kernel coefficients for oblique boundary conditions
J. S. Dowker, Klaus Kirsten
We calculate the heat-kernel coefficients, up to , for a U(1) bundle on the 4-Ball for boundary conditions which are such that the normal derivative of the field at the bounda…