A method for high-resolution scanning microscopy of a sample, wherein - the sample is excited by illumination radiation to emit fluorescent radiation, wherein the illumination radiation is focused to a point in or on the sample to form a diffraction-limited illumination spot, - the point is imaged to a diffraction image on a spatially resolving two-dimensional detector in diffraction-limited manner, wherein the two-dimensional detector has a spatial resolution which resolves a diffraction structure of the diffraction image, - the point is displaced into various scanning positions relative to the sample with an increment which is smaller than half a diameter of the illumination spot, - the two-dimensional detector is read and an image of the sample with a resolution which is increased beyond a resolution limit of the imaging is generated from data of the two-dimensional detector and from the scanning positions assigned to these data, characterized in that - for the purposes of discriminating between at least two predetermined wavelength ranges in the fluorescent radiation of the sample, a number of Airy disks with the number corresponding to the at least two predetermined wavelength ranges are generated on the two-dimensional detector by means of a spectrally selective element, which Airy disks are offset laterally from one another such that the diffraction image consists of the mutually offset Airy disks, wherein the Airy disks lie completely on the two-dimensional detector and overlap but do not cover each other completely, and - the Airy disks are evaluated when generating the image of the sample by - setting up a system of equations on basis of evaluating the data from the two-dimensional detector, where one equation is set up for each scanning position and each equation of the fluorescent spot comprises position, fluorescence intensity and assignment to the wavelengths range as the unknowns, and - solving the system of equations to generate the image of the sample in the wavelength ranges. - the sample is excited by illumination radiation to emit fluorescent radiation, wherein the illumination radiation is focused to a point in or on the sample to form a diffraction-limited illumination spot, - the point is imaged to a diffraction image on a spatially resolving two-dimensional detector in diffraction-limited manner, wherein the two-dimensional detector has a spatial resolution which resolves a diffraction structure of the diffraction image, - the point is displaced into various scanning positions relative to the sample with an increment which is smaller than half a diameter of the illumination spot, - the two-dimensional detector is read and an image of the sample with a resolution which is increased beyond a resolution limit of the imaging is generated from data of the two-dimensional detector and from the scanning positions assigned to these data, characterized in that - for the purposes of discriminating between at least two predetermined wavelength ranges in the fluorescent radiation of the sample, a number of Airy disks with the number corresponding to the at least two predetermined wavelength ranges are generated on the two-dimensional detector by means of a spectrally selective element, which Airy disks are offset laterally from one another such that the diffraction image consists of the mutually offset Airy disks, wherein the Airy disks lie completely on the two-dimensional detector and overlap but do not cover each other completely, and - the Airy disks are evaluated when generating the image of the sample by - setting up a system of equations on basis of evaluating the data from the two-dimensional detector, where one equation is set up for each scanning position and each equation of the fluorescent spot comprises position, fluorescence intensity and assignment to the wavelengths range as the unknowns, and - solving the system of equations to generate the image of the sample in the wavelength ranges. - setting up a system of equations on basis of evaluating the data from the two-dimensional detector, where one equation is set up for each scanning position and each equation of the fluorescent spot comprises position, fluorescence intensity and assignment to the wavelengths range as the unknowns, and - solving the system of equations to generate the image of the sample in the wavelength ranges.