Szegő kernel asymptotic expansion on CR manifolds with $S^1$ action

Hendrik Herrmann, Chin-Yu Hsiao, Xiaoshan Li

Let $X$ be a compact connected strongly pseudoconvex CR manifold of dimension $2n+1,n\ge 1$ with a transversal CR $S^1$ action on $X$. We establish an asymptotic expansion for th…