William Beckner

3.4k citations
32 papers · 1.9k · 2 hit papers · h-index 17

Impact in

    • Nonlinear Partial Differential Equations
    • Advanced Harmonic Analysis Research
    • Mathematical Analysis and Transform Methods
    • Geometric Analysis and Curvature Flows
    • Numerical methods in inverse problems
    • Advanced Mathematical Physics Problems
    • Spectral Theory in Mathematical Physics

Papers in

    • Nonlinear Partial Differential Equations 8
    • Advanced Harmonic Analysis Research 8
    • Mathematical Analysis and Transform Methods 7
    • Geometric Analysis and Curvature Flows 4
    • Advanced Mathematical Physics Problems 6
    • Numerical methods in inverse problems 4
    • Spectral Theory in Mathematical Physics 3

William Beckner

32 papers receiving 1.7k citations

William Beckner's Hit Papers

Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality 1993 · 383 citations
3830+17+34Years since publication200400600

Peers

William Beckner
Comparison fields: 5 of 66
  • Applied Mathematics 1.3k
  • Mathematical Physics 722
  • Computational Theory and Mathematics 458
  • Geometry and Topology 203
  • Statistical and Nonlinear Physics 234
Replace Eric A. Carlen with:
Eric A. Carlen United States
Jeffrey S. Geronimo United States
Leonard Gross United States
Hui-Hsiung Kuo United States
Michael Loss United States
Michel L. Lapidus United States
Yves Colin de Verdìère France
Rowan Killip United States
R. Wong Hong Kong
Michael Christ United States
William Beckner relative to Eric A. Carlen United States Eric A. Carlen's profile →
Citations per field
00.5×1.5×
Eric A. Carlen · 1×
Citations per year

Countries citing papers authored by William Beckner

Since Specialization
Citations

This map shows the geographic impact of William Beckner's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by William Beckner with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites William Beckner more than expected).

Fields of papers citing papers by William Beckner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William Beckner. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by William Beckner. The network helps show where William Beckner may publish in the future.

Co-authors

The 6 scholars most cited alongside William Beckner, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with William Beckner Line = papers co-authored together William Beckner links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 32 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Inequalities in Fourier Analysis
Hit paper breakdown →
1975682
2
Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality
Hit paper breakdown →
1993383
3 199592
4 198976
5
Conference on Harmonic Analysis in honor of Antoni Zygmund
198376
6 199270
7 200062
8 200761
9 199555
10 199952
11 197547
12 200840
13 199834
14 199722
15 198919
16 201419
17 200317
18 198916
19
199815
20 199713

About William Beckner

William Beckner is a scholar working on Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Mechanics of Materials and Discrete Mathematics and Combinatorics, having authored 32 papers that have together received 1.9k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (8 papers), Advanced Harmonic Analysis Research (8 papers), Mathematical Analysis and Transform Methods (7 papers), Advanced Mathematical Physics Problems (6 papers), Geometric Analysis and Curvature Flows (4 papers), Numerical methods in inverse problems (4 papers), Advanced Mathematical Modeling in Engineering (4 papers) and Spectral Theory in Mathematical Physics (3 papers). The work is most often cited by research in Applied Mathematics (1.3k citations), Mathematical Physics (722 citations), Computational Theory and Mathematics (458 citations), Geometry and Topology (203 citations) and Statistical and Nonlinear Physics (234 citations). William Beckner has collaborated with scholars based in United States, Israel and Spain. Frequent co-authors include Antoni Zygmund, Michael M. Pearson, Amitai Regev, Stephen Semmes, Fernando Soria and Anthony Carbery. Their work appears in journals such as Proceedings of the American Mathematical Society, Forum Mathematicum, Advances in Mathematics, Bulletin of the London Mathematical Society and Annals of Mathematics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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