2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73945A prescription for constructing dictionaries for cardinal spline spaces on a compact interval is provided. It is proved that such spaces can be spanned by dictionaries which are built by translating a prototype B-spline function of fixed support into the knots of the required cardinal spline space. This implies that cardinal spline spaces on a compact interval can be spanned by dictionaries of cardinal B-spline functions of broader support that the corresponding basis function.11 pages, 8 figuresFunctional Analysis41A15; 41A45; 65D07Cardinal B-spline dictionaries on a compact intervaltext