Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities

Luc Hillairet; Alexey Kokotov

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arXiv · 1011.5034

Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities

Luc Hillairet·Alexey Kokotov

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Abstract

We use Krein formula and the S-matrix formalism to give formulas for the zeta-regularized determinant of non-Friedrichs extensions of the Laplacian on Euclidean surfaces with Conical Singularities. This formula involves S(0) and we show that the latter can be expressed using the Bergman projective connection on the underlying Riemann surface.

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BibTeX RIS

Luc Hillairet, Alexey Kokotov. 2010-11-23. Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities. https://arxiv.org/abs/1011.5034

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