In this talk we briefly summarize our theoretical understanding of in-medium selfenergies of hadrons. With the special case of the $omega$ meson we demonstrate that earlier calculations that predicted a significant lowering of the mass in medium are
based on an incorrect treatment of the model Lagrangian; more consistent calculations lead to a significant broadening, but hardly any mass shift. We stress that the experimental reconstruction of hadron spectral functions from measured decay products always requires knowledge of the decay branching ratios which may also be strongly mass-dependent. It also requires a quantitatively reliable treatment of final state interactions which has to be part of any reliable theory.
