Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action
Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action
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 the $m$-th Fourier component of the Szegő kernel function as $m\rightarrow\infty$, where the expansion involves a contribution in terms of …