Torus Equivariant Szegő Kernel Asymptotics on Strongly Pseudoconvex CR Manifolds

被引：0
|
作者：
Hendrik Herrmann
Chin-Yu Hsiao
Xiaoshan Li
机构：
[1] University of Wuppertal,Faculty of Mathematics und Natural Sciences
[2] Institute of Mathematics,School of Mathematics and Statistics
[3] Academia Sinica and National Center for Theoretical Sciences,undefined
[4] Wuhan University,undefined
来源：
Acta Mathematica Vietnamica | 2020年 / 45卷
关键词：
Szegő kernels; Asymptotic expansion; CR functions; Strongly pseudoconvex CR manifolds; Sasakian manifolds; Primary 32V20; Secondary 32W10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let (X, T1,0X) be a compact strongly pseudoconvex CR manifold of dimension 2n + 1. Assume that a d-dimensional torus Td acts on X. In this work, we study the behavior of torus equivariant Szegő kernels and prove that the weighted torus equivariant Szegő kernels admit asymptotic expansions.
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页码：113 / 135
页数：22
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