2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/508021.An expression for the smoothed counting function in terms of the fractional derivatives of the delta-function is presented. 2. The Neumann-Dirichlet (ND) boundary problem is introduced via some elementary examples based on a functorial relation between the ND, DD, NN and periodic boundary conditions.Talk presented at the International Meeting on ``Quantum Gravity and Spectral Geometry'', Naples July 2-7, 2001. 4 pages, LaTeXHigh Energy Physics - TheoryTwo simple topics in spectral theorytext