1. A digital camera system, comprising: an image processing unit; and at least two independent digital cameras, which capture image signals in different narrow-band spectral regions, which each have a separate shutter and/or a separate objective lens and which each have at least one separate sheet-like digital image sensor and at least one color filter element with at least one filter region, which at least one color filter element is arranged upstream of the at least one sheet-like digital image sensor and corresponds to the respective narrow-band spectral region, which at least one color filter element additionally has at least one neutral region, which is light-transmissive in a spectral region, which at least comprises the different narrow-band spectral regions of the at least two independent digital cameras and which is arranged over at least one specific neutral pixel region of the associated at least one sheet-like digital image sensor, wherein the image processing unit is configured to carry out a method for setting a color balance for the digital camera system, wherein deviations in the exposure times and/or the recorded light quantities between the at least two independent digital cameras of the digital camera system are determined during synchronous image recording by the at least two independent cameras of the same scene, wherein, after the synchronous image recording has taken place, the light quantities recorded in the respective neutral pixel regions of the sheet-like digital image sensors of the at least two independent digital cameras are compared to one another, whereupon, while processing an image of the same scene recorded synchronously in the respective different narrow-band spectral regions by the at least two independent digital cameras, an equalization calculation is performed in such a way that the image signals of the respective narrow-band spectral regions are respectively left unchanged, damped or amplified in accordance with the previously determined deviations.