2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173042In a Freud-type weighted ($w$) space, introducing another weight ($v$) with infinitely many roots, we give a complete and minimal system with respect to $vw$, by deleting infinitely many elements from the original orthonormal system with respect to $w$. The construction of the conjugate system implies an interpolation problem at infinitely many nodes. Besides the existence, we give some convergence properties of the solution.32 pagesClassical Analysis and ODEsFunctional Analysis42A65, 41A05text