English

Applications of an intersection formula to dual cones

Classical Analysis and ODEs 2018-02-16 v2 Functional Analysis

Abstract

We give a succinct proof of a duality theorem obtained by R\'ev\'esz 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.

Keywords

Cite

@article{arxiv.1704.00670,
  title  = {Applications of an intersection formula to dual cones},
  author = {Dániel Virosztek},
  journal= {arXiv preprint arXiv:1704.00670},
  year   = {2018}
}

Comments

v2: title changed and two remarks added (this version is close to the published one)