English

A constrained optimization problem for the Fourier transform: Quantitative analysis

Classical Analysis and ODEs 2018-02-07 v1

Abstract

Among functions ff majorized by indicator functions 1E1_E, which functions have maximal ratio f^q/E1/p\|\widehat{f}\|_q/|E|^{1/p}? We establish a quantitative answer to this question for exponents qq sufficiently close to even integers, building on previous work proving the existence of such maximizers.

Cite

@article{arxiv.1802.01748,
  title  = {A constrained optimization problem for the Fourier transform: Quantitative analysis},
  author = {Dominique Maldague},
  journal= {arXiv preprint arXiv:1802.01748},
  year   = {2018}
}

Comments

34 pages

R2 v1 2026-06-23T00:12:20.527Z