224 citations · 2.6k across the 121 of their papers we have counts for
121 papers
The BFK type gluing formula of zeta-determinants for the Robin Boundary condition
Klaus Kirsten, Yoonweon Lee
In this paper we discuss the BFK type gluing formula for zeta-determinants of Laplacians with respect to the Robin boundary condition on a compact Riemannian manifold. As a special…
The Krein-von Neumann extension revisited
Guglielmo Fucci, Fritz Gesztesy, Klaus Kirsten +3
We revisit the Krein-von Neumann extension in the case where the underlying symmetric operator is strictly positive and apply this to derive the explicit form of the Krein-von Neum…
Spectral zeta-Functions and zeta-Regularized Functional Determinants for Regular Sturm-Liouville Operators
Guglielmo Fucci, Fritz Gesztesy, Klaus Kirsten +1
The principal aim in this paper is to employ a recently developed unified approach to the computation of traces of resolvents and -functions to efficiently compute values of spe…
Polyakov formulas for conical singularities in two dimensions
Clara L. Aldana, Klaus Kirsten, Julie Rowlett
We investigate the zeta-regularized determinant and its variation in the presence of conical singularities, boundaries, and corners. For surfaces with isolated conical singularitie…
The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface
Klaus Kirsten, Yoonweon Lee
In the proof of the BFK-gluing formula for zeta-determinants of Laplacians there appears a real polynomial whose constant term is an important ingredient in the gluing formula. Thi…
Casimir pistons with generalized boundary conditions: a step forward
Guglielmo Fucci, Klaus Kirsten, Jose M. Munoz-Castaneda
In this work we study the Casimir effect for massless scalar fields propagating in a piston geometry of the type where is an interval of the real line and is a…