加权Bergman空间：移位-不变子空间与输入/状态/输出线性系
Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems
摘要：
众所周知，单位圆盘上的哈代空间的子空间在后移下是不变的，它作为与具有稳定状态动力学的离散时间线性系相关联的可观测性算子的图像出现，以及希尔伯特空间收缩算子的函数模型空间，而前移不变子空间具有内函数的表示。我们讨论了几个变种，这些声明的上下文中加权伯格曼空间的单位磁盘。
英文摘要：
It is well known that subspaces of the Hardy space over the unit disk which are invariant under the backward shift occur as the image of an observability operator associated with a discrete-time linear system with stable state-dynamics, as well as the functional-model space for a Hilbert space contraction operator, while forward shift-invariant subspaces have a representation in terms of an inner function. We discuss several variants of these statements in the context of weighted Bergman spaces on the unit disk.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
