Long time behavior of the half-wave trace and Weyl remainders

Ethan Sussman

Given a compact Riemannian manifold $(M,g)$, Chazarain, Hörmander, Duistermaat, and Guillemin study the half-wave trace ${\mathrm{HWT}}_{M,g}(\tau )\in {\mathcal{S}}^{\prime }({\mathbb{R}}_{\tau })$…