2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88126We consider functions on the lattice generated by the integer powers of $q^2$ for $0<q<1$ and construct the $q$-analog of Fourier transform based on the Jackson integral in the space of distributions on the lattice.18 pages, latex, typos corrected, added referencesQuantum Algebratext