  We theoretically investigate the recent photoemission-type experiment on
$^{40}$K Fermi gases done by JILA group. Including pairing fluctuations within
a strong-coupling $T$-matrix theory, as well as effects of a harmonic trap
within the local density approximation, we calculate photoemission spectra in
the BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover
region. We show that the energy resolution of the current photoemission
experiment is enough to detect the pseudogap phenomenon. We also show how the
pseudogap in single-particle excitations continuously changes into the
superfluid gap, as one decreases the temperature below the superfluid phase
transition temperature. Our results would be useful for the study of
single-particle properties of ultracold Fermi gases in the BCS-BEC crossover.
