70 citations · 330 across the 22 of their papers we have counts for
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The very unusual properties of the resolvent, heat kernel, and zeta function for the operator
Klaus Kirsten, Paul Loya, Jinsung Park
In this article we analyze the resolvent, the heat kernel and the spectral zeta function of the operator over the finite interval. The structural properties…
Exotic expansions and pathological properties of -functions on conic manifolds
Klaus Kirsten, Paul Loya, Jinsung Park
We give a complete classification and present new exotic phenomena of the meromorphic structure of -functions associated to general self-adjoint extensions of Laplace-type opera…
New Developments in the Spectral Asymptotics of Quantum Gravity
Giampiero Esposito, Guglielmo Fucci, Alexander Yu. Kamenshchik +1
A vanishing one-loop wave function of the Universe in the limit of small three-geometry is found, on imposing diffeomorphism-invariant boundary conditions on the Euclidean 4-ball i…
A Non-Singular One-Loop Wave Function of the Universe From a New Eigenvalue Asymptotics in Quantum Gravity
Giampiero Esposito, Guglielmo Fucci, Alexander Yu. Kamenshchik +1
Recent work on Euclidean quantum gravity on the four-ball has proved regularity at the origin of the generalized zeta-function built from eigenvalues for metric and ghost modes, wh…
Functional determinants in the presence of zero modes
Klaus Kirsten, Alan J. 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 we il…
Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions
M. van den Berg, P. Gilkey, K. Kirsten +1
The existence of a full asymptotic expansion for the heat content asymptotics of an operator of Laplace type with classical Zaremba boundary conditions on a smooth manifold is esta…