Determinant of pseudo-laplacians
Spectral Theory
2016-02-02 v1
Abstract
Let X be a compact Riemannian manifold of dimension two or three and let P be a point of X. We derive comparison formulas relating the zeta-regularized determinant of an arbitrary self-adjoint extension of (symmetric) Laplace operator with domain, consisting of smooth functions with compact supports which does not contain P, to the zeta-regularized determinant of the self-adjoint Laplacian on X.
Cite
@article{arxiv.1202.4027,
title = {Determinant of pseudo-laplacians},
author = {Tayeb Aissiou and Luc Hillairet and Alexey Kokotov},
journal= {arXiv preprint arXiv:1202.4027},
year = {2016}
}