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.

引用

页码：113 / 135

页数：22

共 4 条

[1] Torus Equivariant Szego&x30b; Kernel Asymptotics on Strongly Pseudoconvex CR Manifolds
Herrmann, Hendrik
Hsiao, Chin-Yu
Li, Xiaoshan
ACTA MATHEMATICA VIETNAMICA, 2020, 45 (01) : 113 - 135
[2] Szego kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action
Herrmann, Hendrik
Hsiao, Chin-Yu
Li, Xiaoshan
INTERNATIONAL JOURNAL OF MATHEMATICS, 2018, 29 (09)
[3] Equivariant asymptotics of Szego kernels under Hamiltonian U(2)-actions
Galasso, Andrea
Paoletti, Roberto
ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 198 (02) : 639 - 683
[4] Szego kernel, regular quantizations and spherical CR-structures
Arezzo, Claudio
Loi, Andrea
Zuddas, Fabio
MATHEMATISCHE ZEITSCHRIFT, 2013, 275 (3-4) : 1207 - 1216

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