Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action
Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action
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DOI：
10.1142/s0129167x18500611
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发表时间：
2016-10
影响因子：
0.6
通讯作者：
H. Herrmann;Chin-Yu Hsiao;Xiaoshan Li
中科院分区：
文献类型：
--
作者：
H. Herrmann;Chin-Yu Hsiao;Xiaoshan Li
Let [Formula: see text] be a compact connected strongly pseudoconvex Cauchy–Riemann (CR) manifold of real dimension [Formula: see text] with a transversal CR [Formula: see text] action on [Formula: see text]. We establish an asymptotic expansion for the [Formula: see text]th Fourier component of the Szegö kernel function as [Formula: see text], where the expansion involves a contribution in terms of a distance function from lower dimensional strata of the [Formula: see text] action. We also obtain explicit formulas for the first three coefficients of the expansion.
