A PRODUCT EXPANSION FOR TOEPLITZ OPERATORS ON THE FOCK SPACE

被引：1
|
作者：
Bagger, Raffael [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Anal, D-30167 Hannover, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 11期
关键词：
QUANTIZATION;
D O I：
10.1090/proc/14661
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the asymptotic expansion of the product of two Toeplitz operators on the Fock space. In comparison to earlier results we require significantly fewer derivatives and get the expansion to arbitrary order. This, in particular, improves a result of Borthwick related to Toeplitz quantization. In addition, we derive an intertwining identity between the Berezin star product and the sharp product.
引用
收藏
页码：4823 / 4833
页数：11
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