  Suppose that a compact and connected Lie group $G$ acts on a complex Hodge
manifold $M$ in a holomorphic and Hamiltonian manner, and that the action
linearizes to a positive holomorphic line bundle $A$ on $M$. Then there is an
induced unitary representation on the associated Hardy space and, if the moment
map of the action is nowhere vanishing, the corresponding isotypical components
are all finite dimensional. We study the asymptotic concentration behavior of
the corresponding equivariant Szeg\"{o} kernels near certain loci defined by
the moment map.
