Berezin-Toeplitz quantization and composition formulas

被引：31

作者：

Bauer, Wolfram ^{[1
]}

机构：

[1] Ernst Moritz Arndt Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 10期

基金：

日本学术振兴会;

关键词：

Berezin-Toeplitz operator; Heat equation; Berezin transform; Star product; OPERATORS;

D O I：

10.1016/j.jfa.2008.10.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Extending results in [L.A. Coburn, The measure algebra of the Heisenberg group, J. Funct. Anal. 161 (1999) 509-525; L.A. Coburn, On the Berezin-Toeplitz calculus, Proc. Amer. Math. Soc. 129 (11) (2001) 3331-3338] we derive composition formulas for Berezin-Toeplitz operators with i.g. unbounded symbols in the range of certain integral transforms. The question whether a finite product of Berezin-Toeplitz operators is an operator of this type again can be answered affirmatively in several cases, but there are also well-known counter examples. We explain some consequences of such formulas to C*-algebras generated by Toeplitz Operators. (c) 2008 Published by Elsevier Inc.

引用

页码：3107 / 3142

页数：36

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