Covariant symbolic calculus for Toeplitz operators on the sphere

被引：3
|
作者：
Nguon, Donara
机构：
[1] F-75001 Paris
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 04期
关键词：
Toeplitz operators; Berezin quantization; Bessel integral operators; star product; KAHLER MANIFOLD; QUANTIZATION;
D O I：
10.1080/10652460600903088
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider Toeplitz operators of order zero on the unit sphere of C-n and describe its covariant symbolic calculus defined by the Berezin quantization. These Toeplitz operators are written as Bessel integral operators. We derive a new explicit formula in terms of Bessel functions for the composition of covariant symbols and a star product.
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页码：255 / 269
页数：15
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