Abstract: In a burner which consists of a swirl generator (100) on the oncoming-flow side, the flow (40) formed herein is passed smoothly into a mixing section (220). This is done with the aid of a transition geometry which is present at the start of the mixing tube (220) and consists of transition passages (201) which cover sectors of the end face of the mixing section (220), in accordance with the number of sectional bodies of the swirl generator (100), and run helically in the direction of flow. On the outflow side of these transition passages (201), prefilming bores (21) pass through the mixing section (220), which prefilming bores (21) initiate an increase in the flow velocity along the tube wall. Adjoining the mixing section (220) is a combustion chamber (30) in which a backflow zone (50) forms in the region of the jump in cross-section between mixing section (220) and combustion chamber (30).