论文标题
等距线性典型转换组的索引公式
An Index Formula for Groups of Isometric Linear Canonical Transformations
论文作者
论文摘要
我们定义了由$ l^2（\ Mathbb {r}^n）$作用的Metappic运算符的统一组$ u（n）$的表示形式，并考虑由Shubin类的代表和PseudoDifferential Operators生成的操作员代数。在适当的条件下，我们证明了该代数中元素的弗雷德霍尔姆特性，并获得索引公式。
We define a representation of the unitary group $U(n)$ by metaplectic operators acting on $L^2(\mathbb{R}^n)$ and consider the operator algebra generated by the operators of the representation and pseudodifferential operators of Shubin class. Under suitable conditions, we prove the Fredholm property for elements in this algebra and obtain an index formula.
