Representation of quasi-periodic functions and Hausdorff-Young inequalities for Besicovitch almost periodic functions

Aihua Fan, Kai Jiang, Pingwen Zhang

For a class of ${\mathbb{R}}^d$-ations and ${\mathbb{Z}}^d$-actions on the $n$-dimensional torus ${\mathbb{T}}^n$, we characterize their unique ergodicity and establish a theorem of Weyl…