The invention relates to apodization in a holographic direct view display. Known apodization functions are utilized/modified for an apodization mask such that the functions reduce the intensities of selected higher magnitudes of diffractions. The holographic direct view display comprises a controllable light modulator having modulator cells and modulating impinging coherent light into a phase and/or amplitude, and an array of apodization masks. The apodization masks have the same apodization function for a predetermined group of modulator cells, by means of which function a complex amplitude transparency can be set for the modulator cells. This transparency corresponds to an individually predefined course of intensity in a far field of the light modulator, wherein the predefined course of intensity includes a reducing of the light intensity of higher magnitudes of diffractions, and/or of the interfering light emitted by the light modulator.