The invention relates to a gas supply for an electrostatic filter and an electrostatic filter arrangement which has an electrostatic filter and a gas supply. Here, the gas supply has an incoming flow channel of constant cross-sectional area, a gas inlet hood with cross-sectional area expanding in the direction of the electrostatic filter, and an admixture arrangement for a conditioning means, wherein at least one flow distributor is arranged in the expanded cross-sectional region of the gas inlet hood. Characterizing features include a first vortex arrangement generating a leading-edge vortex arranged in the incoming flow channel, a second vortex arrangement generating a leading-edge vortex arranged in the gas inlet hood before the flow divider in the gas flow direction, and the admixture arrangement arranged in the region of one of the two vortex arrangements.