2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115587We define the Hermite--Sobolev spaces naturally associated to the harmonic oscillator $H= -Δ+|x|^2.$ Structural properties, relations with the classical Sobolev spaces, boundedness of operators and almost everywhere convergence of solutions of the Schrödinger equation are also considered.24 pagesCombinatoricsMathematical PhysicsFunctional Analysis42B35; 42C05text