2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67979We obtain explicit upper and lower bounds on the norms of the spectral projections of the non-self-adjoint harmonic oscillator. Some of our results apply to a variety of other families of orthogonal polynomials.Spectral Theory33Cxx; 34Exx; 47Axx; 47Bxx; 81Q20text