  The spectral function of pions interacting with a gas of nucleons and
Delta-33-resonances is investigated using the formalism of Thermo Field
Dynamics. After a discussion of the zero Delta-width approximation at finite
temperature, we take into account a constant width of the resonance. Apart from
a full numerical calculation, we give analytical approximations to the pionic
spectral function including such a width. They are found to be different from
previous approximations, and require an increase of the effective Delta-width
in hot compressed nuclear matter. The results are summarized in an effective
dispersion relation for interacting pions.
