43 citations · 74 across the 21 of their papers we have counts for
Showing 2010 · math.SPShow all
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math.SP2010
Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities
Luc Hillairet, Alexey Kokotov
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 Conic…
math.SP2010
Finite deficiency indices and uniform remainder in Weyl's law
Luc Hillairet
We give a proof that in settings where Von Neumann deficiency indices are finite the spectral counting functions of two different self-adjoint extensions of the same symmetric oper…
math.SP2010★ 17 cited
Spectral simplicity and asymptotic separation of variables
Luc Hillairet, Chris Judge
We describe a method for comparing the real analytic eigenbranches of two families of quadratic forms that degenerate as t tends to zero. One of the families is assumed to be amena…