Strong Uniform Distributions and Ergodic Theorems
Strong Uniform Distributions and Ergodic Theorems
Let $G$ and $H$ be locally compact $\sigma$-compact abelian groups, $\mathcal {A}$ a mapping from $G$ to $H$, and $\{ {\mu _n}\} _{n = 1}^\infty$ a sequence of measures on $G$. We define the notions: â$\mathcal {A}$ is a uniform distribution with respect ot $\{ {\mu _n}\}$â and â$\mathcal {A}$ …