2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213126In this article we obtain families of frames for the space B_ωof functions with band in [-ω,ω] by using the theory of shift-invariant spaces. Our results are based on the Gramian analysis of A. Ron and Z. Shen and a variant, due to Bownik, of their characterization of families of functions whose shifts form frames or Riesz bases. We give necessary and sufficient conditions for the translates of a finite number of functions (generators) to be a frame or a Riesz basis for B_ω. We also give explicit formulas for the dual generators and we apply them to Hilbert transform sampling and derivative sampling. Finally, we provide numerical experiments which support the theory.28 pages, 9 figures; corrected typosFunctional Analysis42C15; 46E20; 46E22text