All Questions

I'm attempting to bound an expression of the form. $$ \lVert(\prod_{i=1}^{\infty} \phi_i) * s \rVert_{\infty} $$ Where $\phi_i$ are bounded periodic step functions which can be replaced by smoothed ...

Let $d \geq 2$ and $K$ some positive integer. Consider distinct points $\theta_1, \ldots, \theta_K\in \mathbb{T}^d$ and (not necessarily distinct) $z_1, \ldots, z_K \in \{-1,1\}$ such that $\sum\...