On Convergence of Toeplitz Quantization of the Sphere

被引：1
|
作者：
Li, Yanlin [1 ]
Bouleryah, Mohamed Lemine H. [2 ]
Ali, Akram [2 ]
机构：
[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China
[2] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia
来源：
MATHEMATICS | 2024年 / 12卷 / 22期
关键词：
complex line bundle; symplectic geometry; Toeplitz quantization; decreasing rearrangement; spectral measure; SUBMANIFOLDS;
D O I：
10.3390/math12223565
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give an explicit expression of the Toeplitz quantization of a C infinity smooth function on the sphere and show that the sequence of spectra of Toeplitz quantization of the function determines its decreasing rearrangement. We also use Toeplitz quantization to prove a version of Szeg & ouml;'s Theorem.
引用
收藏
页数：15
相关论文
共 50 条
12345