  We investigate the single-particle spectra of recently discovered kagome
superconductors. We examine nine distinct superconducting pairing symmetries,
including the uniform $s$-wave pairing function, nearest-neighbor and
next-nearest-neighbor $s$-wave pairing, $p+ip$ pairing, $d+id$ pairing, and
$f$-wave pairing states. These pairing states can be classified into
irreducible representations of the $C_{6v}$ point group. Our findings suggest
that these pairing states can be differentiated by analyzing the energy bands,
spectral function, and local density of states. Additionally, we explore the
single impurity effect, which could potentially assist in further
distinguishing these pairing symmetries.
