We report the results of calculations and analysis concerning the dependence of the dielectric response function e(~o, q) on frequency co and wave number q in one-dimensional conductors. The localization of electron states leads to unusually complicated dependences of e(co, q) on co and q in low-frequency and long-wavelength regions, while the spatial and time dispersions become closely interwoven with each other. The effect of geometric resonance is discussed. It appears as quasiharmonical oscillations of complex susceptibility as function of co and q, owing to the hopping nature of electron conductivity in a nonuniform electromagnetic field.