Estimates for the norms of products of sines and cosines

Jordan Bell

In this paper we prove asymptotic formulas for the $L^p$ norms of $P_n(\theta )={\prod }_{k=1}^n(1-e^{ik\theta })$ and $Q_n(\theta )={\prod }_{k=1}^n(1+e^{ik\theta })$. These products can be expressed using $…