论文标题
卷积操作员的奇异性能
Ergodic properties of convolution operators
论文作者
论文摘要
令$ g $为本地紧凑型组，$μ$是$ g $的措施。在本文中，我们找到了卷积运算符的条件$λ_p（μ）$，在$ l^p（g）$上定义，并由卷积为$μ$给出，这是含义的ergodic且均匀的含义。运算符的恒星性质$λ_p（μ）$也与该度量$μ$的千古特性有关。
Let $G$ be a locally compact group and $μ$ be a measure on $G$. In this paper we find conditions for the convolution operators $λ_p(μ)$, defined on $L^p(G)$ and given by convolution by $μ$, to be mean ergodic and uniformly mean ergodic. The ergodic properties of the operators $λ_p(μ)$ are related to the ergodic properties of the measure $μ$ as well.
