Do Sommerfeld's solutions of Maxwell equations for charged particles moving uniformly in the vacuum with velocities greater than the velocity of light (1) Sommerfeld's tachyonic solutions play any role in the description of physical phenomena?. We have decomposed the motion of a harmonically oscillating charge into uniform-motion components, which include bradyonic as well as tachyonic contributions (2). The main conclusion we arrive at is that, in order to attain the (averaged) Larmor's formula, one must necessarily take into account the radiation coming from all the densities of charge moving uniformly at speeds higher than the speed of light (tachyonic components). The bradyonic components contribute only to the induction fields.