On the Coefficients of the Equivariant Szegő Kernel Asymptotic Expansions.

Let (X , T 1 , 0 X) be a compact connected orientable strongly pseudoconvex CR manifold of dimension 2 n + 1 , n ≥ 1 . Assume that X admits a connected compact Lie group G action and a transversal CR S 1 action, we compute the coefficients of the first two lower-order terms of the equivariant Szegő kernel asymptotic expansions with respect to the S 1 action. [ABSTRACT FROM AUTHOR]