In LED tubular lamps (lamps with a tubular outer contour which typically have several light emitting diodes (LEDs) as their light sources) space is very limited. As a result of the necessary electronics (drivers) for controlling the LEDs, in addition the lateral distance between a rest for applying an LED support populated with the LEDs and the LEDs is critical. In addition, other optics for light distribution, in particular light dispersion, are required in order to avoid inhomogeneous light distribution, which is caused by using the LEDs as point light sources.