Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function

Vesselin Petkov, Luchezar Stoyanov

Let $s_0<0$ be the abscissa of absolute convergence of the dynamical zeta function $Z(s)$ for several disjoint strictly convex compact obstacles $K_i \subset \R^N, i = 1,..., κ_0…