Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592550 | Journal of Functional Analysis | 2007 | 35 Pages |
Abstract
We study (relative) zeta regularized determinants of Laplace type operators on compact conic manifolds. We establish gluing formulae for relative zeta regularized determinants. For arbitrary self-adjoint extensions of the Laplace–Beltrami operator, we express the relative ζ-determinants for these as a ratio of the determinants of certain finite matrices. For the self-adjoint extensions corresponding to Dirichlet and Neumann conditions, the formula is particularly simple and elegant.
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