  We investigate the low temperature (T $<$ 2 K) electronic structure of the
heavy fermion superconductor CeCoIn5 (T$_c$ = 2.3 K) by angle-resolved
photoemission spectroscopy (ARPES). The hybridization between conduction
electrons and f-electrons, which ultimately leads to the emergence of heavy
quasiparticles responsible for the various unusual properties of such
materials, is directly monitored and shown to be strongly band dependent. In
particular the most two-dimensional band is found to be the least hybridized
one. A simplified multiband version of the Periodic Anderson Model (PAM) is
used to describe the data, resulting in semi-quantitative agreement with
previous bulk sensitive results from de-Haas-van-Alphen measurements.
