Abstract: The supply air unit (100) comprises a supply air chamber (10), at least one mixing chamber (20a, 20b), which opens into the air-conditioned room space, nozzles (60a, 60b), through which a fresh airflow (L1) is conducted from the supply air chamber (10) into the mixing chamber, a first heat-transfer unit (A), which comprises at least one heat exchanger (30a, 30b), through which a circulated airflow (L2) is conducted from the room space into the mixing chamber. The supply air unit also comprises a second heat-transfer unit (B), which is formed by at least one radiating element (50), which has a radiating surface (51), to which heat is transferred from the air-conditioned room space for cooling or from which heat is transferred into the air-conditioned room space for heating, and which radiating surface also comprises openings, whereby the radiating surface becomes sound-absorbing.