  This article is concerned with asymptotics of equivariant Bergman kernels and
partial Bergman kernels for polarized projective Kahler manifolds invariant
under a Hamiltonian holomorphic $S^1$ action. Asymptotics of partial Bergman
kernel are obtained in the allowed region $\mathcal{A}$ resp. forbidden region
$\mathcal{F}$, generalizing results of Shiffman-Zelditch,
Shiffman-Tate-Zelditch and Pokorny-Singer for toric Kahler manifolds. The main
result gives scaling asymptotics of equivariant Bergman kernels and partial
Bergman kernels in the transition region around the interface $\partial
\mathcal{A}$, generalizing recent work of Ross-Singer on partial Bergman
kernels, and refining the Ross-Singer transition asymptotics to apply to
equivariant Bergman kernels.
