A theorem concerning Fourier transforms: A survey

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 one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas and new perspectives.

Authors

Institutions

Publication Details

Journal
Journal of the London Mathematical Society
Published
2026-01-01
DOI
https://doi.org/10.1112/jlms.70390
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A theorem concerning Fourier transforms: A survey

Aingeru Fernández‐Bertolin, Luis Vega
Journal of the London Mathematical Society
Mathematical Analysis and Transform Methods
article

A theorem concerning Fourier transforms: A survey

Aingeru Fernández‐Bertolin, Luis Vega
article en

Abstract

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 one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas and new perspectives.

Journal of the London Mathematical SocietyVol. 113(1)
University of the Basque Country (ES), Basque Center for Applied Mathematics (ES)
Eusko Jaurlaritza, Agencia Estatal de Investigación
Openalex Percentile: Top 95%
Mathematical Analysis and Transform Methods
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.