Toeplitz operators on the Segal-Bargmann space
Toeplitz operators on the Segal-Bargmann space
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DOI：
10.1090/s0002-9947-1987-0882716-4
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发表时间：
1987-02
影响因子：
1.3
通讯作者：
C. Berger;L. Coburn
中科院分区：
文献类型：
--
作者：
C. Berger;L. Coburn
本文给出了2n维欧氏空间上Berezin-Toeplitz量子化允许以紧算子模为模的符号演算的函数的完全刻画。所讨论的函数具有“无穷小振荡”的条件。
In this paper, we give a complete characterization of those functions on 2n-dimensional Euclidean space for which the Berezin-Toeplitz quantizations admit a symbol calculus modulo the compact operators. The functions in question are characterized by a condition of "small oscillation at infinity" .