The Berezin transform and invariant differential operators

The Berezin transform and invariant differential operators
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DOI:
10.1007/bf02101491
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发表时间:
1994-08
影响因子:
2.4
通讯作者:
A. Unterberger;H. Upmeier
A. Unterberger;H. Upmeier
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Unterberger;H. Upmeier

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Berezin演算对于量子力学(创造-湮灭算符)和算符理论(Toeplitz算符)非常重要。研究了所有有界对称域的基本Berezin变换(连接逆变符号和协变符号),并用不变微分算子表示它。
The Berezin calculus is important to quantum mechanics (creation-annihilation operators) and operator theory (Toeplitz operators). We study the basic Berezin transform (linking the contravariant and covariant symbol) for all bounded symmetric domains, and express it in terms of invariant differential operators.