Contents Online
Mathematical Research Letters
Volume 19 (2012)
Number 6
Determinants of pseudo-Laplacians
Pages: 1297 – 1308
DOI: https://dx.doi.org/10.4310/MRL.2012.v19.n6.a10
Authors
Abstract
We derive comparison formulas relating the zeta-regularized determinant of an arbitrary self-adjoint extension of the Laplace operator with domain $C^\infty_c(X\setminus \{P\})\subset L_2(X)$ to the zeta-regularized determinant of the Laplace operator on $X$. Here, $X$ is a compact Riemannian manifold of dimension $2$ or $3$; $P\in X$.
Published 18 July 2013