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

页数：15

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