42 citations · 89 across the 12 of their papers we have counts for
12 papers
Analytic surgery of the zeta function
Klaus Kirsten, Paul Loya
In this paper we study the asymptotic behavior (in the sense of meromorphic functions) of the zeta function of a Laplace-type operator on a closed manifold when the underlying mani…
On the Singularities of the Zeta and Eta functions of an Elliptic Operator
Paul Loya, Sergiu Moroianu, Raphaël Ponge
Let P be a selfadjoint elliptic operator of order m>0 acting on the sections of a Hermitian vector bundle over a compact Riemannian manifold of dimension n. General arguments show…
Regularity of the eta function on manifolds with cusps
Paul Loya, Sergiu Moroianu, Jinsung Park
On a spin manifold with conformal cusps, we prove under an invertibility condition at infinity that the eta function of the twisted Dirac operator has at most simple poles and is r…
The ubiquitous -function and some of its "usual" and "unusual" meromorphic properties
Klaus Kirsten, Paul Loya, Jinsung Park
In this contribution we announce a complete classification and new exotic phenomena of the meromorphic structure of $\z$-functions associated to conic manifolds proved in \cite{KLP…
Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone
Klaus Kirsten, Paul Loya, Jinsung Park
In this article we consider the zeta regularized determinant of Laplace-type operators on the generalized cone. For {\it arbitrary} self-adjoint extensions of a matrix of singular…
Computation of determinants using contour integrals
Klaus Kirsten, Paul Loya
It is shown how the pre-exponential factor of the Feynman propagator for a large class of potentials can be computed using contour integrals. This is of direct relevance in the con…