Binary dimension-free discretization and polynomial complexification on real cubes

Luis Miguel Castaño-Marín, Daniel Núñez-Alarcón, Joedson Santos

Let $C(d,2)$ be the optimal dimension-free ratio between the polytorus and Boolean-cube norms of complex multiaffine polynomials of degree at most $d$. For every $d$, $C(d,2)$ equa…