Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction

G. Austin Ford, Andrew Hassell, Luc Hillairet

We investigate the singularities of the trace of the half-wave group, $\mathrm{Tr}{e}^{-it\sqrt{\Delta }}$, on Euclidean surfaces with conical singularities $(X,g)$. We compute the leadi…