Determinant of pseudo-laplacians

Tayeb Aissiou; Luc Hillairet; Alexey Kokotov

doi:10.4310/mrl.2012.v19.n6.a10

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arXiv · 1202.4027

Determinant of pseudo-laplacians

Tayeb Aissiou·Luc Hillairet·Alexey Kokotov

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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.

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BibTeX RIS

Tayeb Aissiou, Luc Hillairet, Alexey Kokotov. 2012-02-17. Determinant of pseudo-laplacians. https://doi.org/10.4310/mrl.2012.v19.n6.a10

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