论文标题
不确定性原理和加权{B} Ergman空间上的差分运算符
Uncertainty principles and differential operators on the weighted {B}ergman space
论文作者
论文摘要
我们将自动化的一阶差异操作员分类为设备光盘上的加权伯格曼空间，并回答与此类操作员的不确定性原理有关的问题。我们的主要工具是$ \ mathrm {su}（1,1）$的离散系列表示。这种方法有望将其推广到其他有限的对称域。
We classify self-adjoint first-order differential operators on weighted Bergman spaces on the unit disc and answer questions related to uncertainty principles for such operators. Our main tools are the discrete series representations of $\mathrm{SU}(1,1)$. This approach has the promise to generalize to other bounded symmetric domains.
