Relation between Turán extremum problem and van der Corput sets

Details Relation between Turán extremum problem and van der Corput sets Relation between Turán extremum problem and van der Corput sets

2003-12-16

arxiv.org/abs/math/0312320v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Let $K\subset\mathbb N$ and $\mathbf T(K)$ is a set of trigonometric polynomials \[ T(x)=T_0+\sum_{k\in K, k\le H}T_k\cos(2\pi kx), \qquad H>1, \] $T(x)\ge0$ for all $x$ and $T(0)=1$. Suppose that $0

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