1. Microscope for high resolution scanning microscopy of a sample, said microscope comprising, an illumination device for illuminating the sample, an imaging device for scanning at least one point spot or line spot across the sample and for diffraction-limited imaging the point spot or line spot into a stationary single image in a detection plane, a detector device for detecting the single image in the detection plane for different scanning positions with a spatial resolution, an evaluation device for evaluating a diffraction pattern of the single image for the scanning positions from data of the detector device and for generating an image of the sample, said image having a resolution that is increased beyond the diffraction limit, wherein the detector device has a detector array, which has pixels and is larger than the single image, and a non-imaging redistribution element, which is disposed upstream of the detector array and distributes the radiation from the detection plane in a non-imaging manner among the pixels of the detector array, said redistribution element comprising a bundle of optical fibers, said bundle having an input with fiber ends, which is arranged in the detection plane, and an output, at which the optical fibers terminate at the pixels of the detector array in a geometrical arrangement, which is different from that of said input, said input fiber ends defining individual image pixels and said pixels of the detector being larger than the image pixels, and wherein said input fiber ends being at most half as large as the full width at half maximum of the diffraction limited single image.