  We provide a large family of atoms for Bergman spaces on irreducible bounded
symmetric domains. This vastly generalizes results by Coifman and Rochberg from
1980. The atomic decompositions are derived using the holomorphic discrete
series representations for the domain, and the approach is inspired by recent
advances in wavelet and coorbit theory. This approach also settles the relation
between atomic decompositions for the bounded and unbounded realizations of the
domain.
