On Weyl Calculus in Infinitely Many Variables

被引：0

作者：

Beltita, I. ^{[1
]}

Beltita, D. ^{[1
]}

机构：

[1] Romanian Acad, Inst Math Simion Stoilow, Bucharest, Romania

来源：

XXIX WORKSHOP ON GEOMETRIC METHODS IN PHYSICS | 2010年 / 1307卷

关键词：

Weyl calculus; infinite-dimensional Heisenberg group; coadjoint orbit; REPRESENTATIONS; QUANTIZATION;

D O I：

暂无

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We outline an abstract approach to the pseudo-differential Weyl calculus for operators in function spaces in infinitely many variables. Our earlier approach to the Weyl calculus for Lie group representations is extended to the case of representations associated with infinite-dimensional coadjoint orbits. We illustrate the approach by the case of infinite-dimensional Heisenberg groups. The classical Weyl-Hormander calculus is recovered for the Schrodinger representations of the finite-dimensional Heisenberg groups.

引用

页码：19 / 26

页数：8

共 27 条

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