The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Inequalities in Fourier Analysis
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Singular Integrals and Differentiability Properties of Functions.
Stein, E. M. (1971) · Cited by 10,183
Introduction to Fourier Analysis on Euclidean Spaces.
Stein, E. M., & Weiss, G. (1971) · Cited by 5,080
Linton, F. E. J., Hewitt, E., & Ross, K. A. (1966) · The American Mathematical Monthly · doi:10.2307/2315383 · Cited by 3,657
Special Functions and the Theory of Group Representations
Vilenkin, N. (1968) · Translations of Mathematical Monographs · doi:10.1090/mmono/022 · Cited by 2,072
Logarithmic Sobolev Inequalities
Gross, L. (1975) · American Journal of Mathematics · doi:10.2307/2373688 · Cited by 1,755
Hirschman, I. I. (1957) · American Journal of Mathematics · doi:10.2307/2372390 · Cited by 485
Cited by
(2005) · Elements of Information Theory · doi:10.1002/047174882x.ch15 · Cited by 1,504
Generalized entropic uncertainty relations
Maassen, H., & Uffink, J. B. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.1103 · Cited by 1,241
The Physics of Quantum Information
(2000) · doi:10.1007/978-3-662-04209-0 · Cited by 1,086
O'Donnell, R. (2014) · Cambridge University Press eBooks · doi:10.1017/cbo9781139814782 · Cited by 932
The Brunn-Minkowski inequality
Gardner, R. J. (2002) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-02-00941-2 · Cited by 894
Metadata
- Authors
- Beckner, W.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1975-07
- Volume
- 102
- Issue
- 1
- Pages
- 159
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2094654291
- Cited by
- 1,290
- References
- 6
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Inequalities in Fourier Analysis. https://app.cochat.ai/papers/10.2307/1970980
- The paper
- Beckner, W. (1975). Inequalities in Fourier Analysis. The Annals of Mathematics. https://doi.org/10.2307/1970980
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.