Mathematics – Spectral Theory
Scientific paper
2010-11-23
Mathematics
Spectral Theory
Accepted in Journal of Geometric Analysis
Scientific paper
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.
Hillairet Luc
Kokotov Alexey
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