Air conditioning device and method for conditioning the air in a limited space

The arrangement (14) has a device for feeding heated or cooled air into the volume (12) and a regulator for regulating an air temperature in the volume in accordance with a desired temperature value by comparing an actual temperature with the desired temperature. A temperature sensor (28) for detecting the current air temperature is arranged in an air outlet channel (26) or close to the channel. AN Independent claim is also included for the following: (a) a method of air conditioning a limited volume.