An irradiation system for simultaneous application of radiation therapy and hyperthermia is provided. The irradiation system has a radiation source and a magnetic resonance tomography apparatus comprising a controller, a plurality of local coils for arrangement on the body of a patient, and a plurality of transmission devices. The transmission devices are configured to supply the local coils with radiofrequency signals independently of one another. In this case, the controller is configured to actuate the transmission devices in such a way that a predetermined region in the body of the patient is heated to a predetermined temperature by means of the radiofrequency signals emitted by the local coils. The radiation source is configured to irradiate a target in the predetermined region.
