2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70188We obtain L^p eigenfunction bounds for the harmonic oscillator in R^n and for other related operators, improving earlier results of Thangavelu and Karadzhov. We also construct suitable counterexamples which show that our estimates are sharp.21 pages, 1 figureAnalysis of PDEsClassical Analysis and ODEs35S05; 35B60L^p eigenfunction bounds for the Hermite operatortext