Applications of an intersection formula to dual cones

Abstract

We give a succinct proof of a duality theorem obtained by Révész in 1991 which concerns extremal quantities related to trigonomertic polynomials. The key tool of our new proof is an intersection formula on dual cones in real Banach spaces. We show another application of this intersection formula which is related to the integral estimates of non-negative positive definite functions.

arXiv commentv2: title changed and two remarks added (this version is close to the published one)