A heat transfer unit - with a first inlet and a first outlet for a first medium to be cooled, which are fluidically interconnected via a first path conducting the first medium, - with a second inlet and a second outlet for a second medium to be heated, which are fluidically interconnected via a second path conducting the second medium, - with a third inlet and a third outlet for a third medium to be heated, which are fluidically interconnected via a third path conducting the third medium, - wherein the first path is coupled to the second path and to the third path in a media-separated and heat-transferring manner, - wherein the heat-transferring coupling between the first path and the second path with respect to the flow direction of the first medium takes place upstream of the heat-transferring coupling between the first path and the third path, - wherein a fourth path for conducting the first medium is provided, which subject to bypassing the heat-transferring couplings of the first path to the second path and to the third path, fluidically interconnects the first inlet to the first outlet, - wherein a control unit for controlling a flow of the first medium through the first path and the fourth path is provided, - wherein a common housing is provided, which comprises the mentioned inlets (29, 32, 35) and the mentioned outlets (30, 33, 36) and which contains the mentioned paths (31, 34, 37, 38), characterized in - that the housing contains a tube and comprises a jacket, which envelopes the tube subject to forming an annular channel, - that the first path leads through the annular channel, - that the second path leads through a first coil helically embracing the tube which extends in the annular channel, - that the third path leads through a second coil helically embracing the tube and extending in the annular channel, - that the fourth path leads through the tube, - that the control device comprises a control element arranged in the tube for changing the through-flow-capable cross section of the tube, - that at least one coil is fluidically connected to the associated inlet (32; 35) or to the associated outlet (33; 36) via a decoupling element, - that the respective decoupling element is movable and/or flexible in such a way that it can compensate relative movements between the respective coil and the housing. - with a first inlet and a first outlet for a first medium to be cooled, which are fluidically interconnected via a first path conducting the first medium, - with a second inlet and a second outlet for a second medium to be heated, which are fluidically interconnected via a second path conducting the second medium, - with a third inlet and a third outlet for a third medium to be heated, which are fluidically interconnected via a third path conducting the third medium, - wherein the first path is coupled to the second path and to the third path in a media-separated and heat-transferring manner, - wherein the heat-transferring coupling between the first path and the second path with respect to the flow direction of the first medium takes place upstream of the heat-transferring coupling between the first path and the third path, - wherein a fourth path for conducting the first medium is provided, which subject to bypassing the heat-transferring couplings of the first path to the second path and to the third path, fluidically interconnects the first inlet to the first outlet, - wherein a control unit for controlling a flow of the first medium through the first path and the fourth path is provided, - wherein a common housing is provided, which comprises the mentioned inlets (29, 32, 35) and the mentioned outlets (30, 33, 36) and which contains the mentioned paths (31, 34, 37, 38), - that the housing contains a tube and comprises a jacket, which envelopes the tube subject to forming an annular channel, - that the first path leads through the annular channel, - that the second path leads through a first coil helically embracing the tube which extends in the annular channel, - that the third path leads through a second coil helically embracing the tube and extending in the annular channel, - that the fourth path leads through the tube, - that the control device comprises a control element arranged in the tube for changing the through-flow-capable cross section of the tube, - that at least one coil is fluidically connected to the associated inlet (32; 35) or to the associated outlet (33; 36) via a decoupling element, - that the respective decoupling element is movable and/or flexible in such a way that it can compensate relative movements between the respective coil and the housing.