A white light source includes an arrangement of light-emitting diodes, wherein the light-emitting diodes are subdivided into first light-emitting diodes and second light-emitting diodes, and a conversion element configured to absorb light emitted by the light-emitting diodes and generate converted light with a longer wavelength than the emitted light, wherein the conversion element includes a first luminescent conversion material in a first matrix material, the first matrix material with the first luminescent conversion material is arranged two-dimensionally in a continuous layer above the first and second light-emitting diodes, the conversion element includes a second luminescent conversion material in a second matrix material, and the second matrix material with the second luminescent conversion material is arranged only above the second light-emitting diodes.