English

A theorem concerning Fourier transforms: A survey

Classical Analysis and ODEs 2025-12-01 v2

Abstract

In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227--231 in the community of harmonic analysis in the last 90 years, reviewing, on the one hand, the direct generalizations of the main results and, on the other, the different connections to related areas and new perspectives.

Keywords

Cite

@article{arxiv.2507.08370,
  title  = {A theorem concerning Fourier transforms: A survey},
  author = {Aingeru Fernández-Bertolin and Luis Vega},
  journal= {arXiv preprint arXiv:2507.08370},
  year   = {2025}
}

Comments

15 pages

R2 v1 2026-07-01T03:56:07.833Z